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If the lines 2x + 3y + 1 = 0 and 3x – y – 4 = 0 lie along diameters of a circle of circumference  then the equation of the circle is

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 54 views

A line with direction cosines proportional to 2, 1, 2 meets each of the lines x = y + a = z and x + a = 2y = 2z. The co­ordinates of each of the points of intersection are given by

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Anonymous User Maths Three Dimensional Geometry 26 Aug, 2020 1 Answer 54 views

Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is

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Anonymous User Maths Three Dimensional Geometry 26 Aug, 2020 1 Answer 56 views

A line makes the same angle  with each of the x and z axis. If the angle  which it makes with y­axis, is such that  then  equals:

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Anonymous User Maths Three Dimensional Geometry 26 Aug, 2020 1 Answer 50 views

The lines  are copolar only if

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Anonymous User Maths Three Dimensional Geometry 26 Aug, 2020 1 Answer 50 views

The two lines x = ay + b, z = cy + d and x = a'y + b', z = c'y + d will be perpendicular, if and only if

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Anonymous User Maths Three Dimensional Geometry 26 Aug, 2020 1 Answer 57 views

If  = 0 and vectors   and  are non­-coplanar, then the product abc equals

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Anonymous User Maths Three Dimensional Geometry 26 Aug, 2020 1 Answer 50 views

A tetrahedron has vertices at O (0, 0, 0), A (1, 2, 1), B (2, 1, 3) and C (–1, 1, 2). Then the angle between the faces OAB and ABC will be

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Anonymous User Maths Three Dimensional Geometry 26 Aug, 2020 1 Answer 60 views

The radius of the circle in which the sphere x2 + y2 + z2 + 2x – 2y – 4z – 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0 is

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Anonymous User Maths Three Dimensional Geometry 26 Aug, 2020 1 Answer 61 views

What is the shortest distance from the plane 12x + 4y + 3z = 327 to the sphere x2 + y2 + z2 + 4x – 2y – 6z = 155?

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Anonymous User Maths Three Dimensional Geometry 26 Aug, 2020 1 Answer 60 views

Two systems of rectangular axes have the same origin. If a plane cuts them at distance a, b, c and a', b', c' from the origin, then

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Anonymous User Maths Three Dimensional Geometry 26 Aug, 2020 1 Answer 53 views

The d.r. of normal to the plane through (1, 0, 0), (0, 1, 0) which makes an angle  with plane x + y = 3 are

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Anonymous User Maths Three Dimensional Geometry 26 Aug, 2020 1 Answer 53 views

The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

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Anonymous User Maths 26 Aug, 2020 1 Answer 58 views

The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

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Anonymous User Maths 26 Aug, 2020 1 Answer 57 views

If a - b = 3 and a*a + b*b = 29, find the value of ab

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Anonymous User Maths 26 Aug, 2020 1 Answer 54 views

There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

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Anonymous User Maths 26 Aug, 2020 1 Answer 56 views

The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ?

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Anonymous User Maths 26 Aug, 2020 1 Answer 53 views

A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2 Then the length of the semi­-major axis is

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 54 views

The point diametrically opposite to the point P(1, 0) on the circle x2 + y2 + 2x + 4y – 3 = 0 is

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 73 views

A parabola has the origin as its focus and the line x= 2 as the directrix. Then the vertex of the parabola is at

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 57 views

The normal to a curve at P(x, y) meets the x-­axis at G. If the distance of G from the origin is twice the abscissa of P, then the curve is a

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 53 views

Consider a family of circles that are passing through the point (–1, 1) and are tangent to x­-axis. If (h, k) are the coordinates of the centre of the circles, then the set of values of k is given by the interval

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 77 views

If one of the lines of my2 + (1 – m2)xy – mx2 = 0 is a bisector of the angle between the lines xy = 0, then m is

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 62 views

The time period of a charged particle undergoing in a circular motion in a uniform magnetic field is independent of its

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Anonymous User Physics Magnetic Effect of Current 26 Aug, 2020 1 Answer 65 views

If a current is passed through a spring then the spring will

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Anonymous User Physics Magnetic Effect of Current 26 Aug, 2020 1 Answer 61 views

Question 

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Anonymous User Physics 26 Aug, 2020 1 Answer 72 views

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Anonymous User Physics 26 Aug, 2020 1 Answer 61 views

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Anonymous User Physics 26 Aug, 2020 1 Answer 63 views

Two discs of the samematerial and thickness have radii 0.2 m and 0.6 m. Their moments of inertia about their axes will
be in the ratio of

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Anonymous User Physics Circular and Rotational Motion 26 Aug, 2020 1 Answer 66 views

A wheel rotates with a constant acceleration of 2.0 radian/sec2. It the wheel starts from rest, the number of revolutions it makes in the first ten seconds will be approximately

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Anonymous User Physics Circular and Rotational Motion 26 Aug, 2020 1 Answer 64 views

A child is standing with folded hands at the centre of a platform rotating about its central axis. The kinetic energy of the system is K. The child now stretches his arms so that the moment of inertia of the system doubles. The kinetic energy of the system now is

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Anonymous User Physics Circular and Rotational Motion 26 Aug, 2020 1 Answer 61 views

A torque of 30 N-m is applied on a 5 kg wheel whose moment of inertia is 2kg-m2 for 10 sec. The angle covered by the wheel in 10 sec will be

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Anonymous User Physics Circular and Rotational Motion 26 Aug, 2020 1 Answer 61 views

A constant torque of 1000 N -m, turns a wheel of moment of inertia 200 kg -m2 about an axis passing through the centre. Angular velocity of the wheel after 3 s will be

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Anonymous User Physics Circular and Rotational Motion 26 Aug, 2020 1 Answer 59 views

A particle performs uniform circular motion with an angular momentum L. If the frequency of a particle's motion is doubled and its kinetic energy is halved, the angular momentum becomes.

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Anonymous User Physics Circular and Rotational Motion 26 Aug, 2020 1 Answer 62 views

Let P = (–1, 0), Q = (0, 0) and R =  be three points. What is the equation of the bisector of the angle PQR?

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 53 views

An automobile engine develops 100 kW when rotating at a speed of 1800 rev/min. What torque does it deliver?

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Anonymous User Physics Circular and Rotational Motion 26 Aug, 2020 1 Answer 61 views

Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right-angled triangle with AC as its hypotenuse. If the area of the triangle is 1 square unit, then the set of values which ‘k’ can take is given by

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 60 views

The angular momentum of a system of particles is conserved

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Anonymous User Physics Circular and Rotational Motion 26 Aug, 2020 1 Answer 67 views

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Anonymous User Maths Differential Calculus 26 Aug, 2020 1 Answer 50 views

The equation of a tangent to the parabola y2 = 8x is y = x + 2. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 55 views

For the Hyperbola  which of the following remains constant when a varies?

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 55 views

If (a, a2) falls inside the angle made by the lines, y = x/2, x > 0 and y = 3x, x > 0, then a belongs to

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 56 views

Let C be the circle with centre (0, 0) and radius 3 units. The equation of the locus of the mid points of chord of the circle C that subtend an angle of  at its centre is

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 52 views

If the lines 3x – 4y – 7 = 0 and 2x – 3y – 5 = 0 are two diameters of a circle of area  square units, then what will be the equation of the circle?

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 54 views

In an ellipse, the distance between its focii is 6 and the minor axis is 8. Then its eccentricity is,

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 56 views

The locus of the vertices of the family of parabolas  is

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 54 views

A straight line through the point A(3, 4) is such that its intercept between the axes is bisected at A. Its equation is,

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 53 views

If the pair of lines ax2 + 2(a + b)xy + by2 = 0 lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sector then

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 60 views

The locus of a point  moving under the condition that the line  is a tangent to the hyperbola  is

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 50 views

An ellipse has OB as semi-minor axis, F and F' its focii and the angle FBF' is a right angle. Then what will be the eccentricity of the ellipse?

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Anonymous User Maths Two Dimensional Geometry 26 Aug, 2020 1 Answer 54 views

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