If two circles, each of radius 5 unit, touch each other at (1,2) and equation of their common tangent is 4x + 3y =0 ,then equation of the circle a portion of which lies in the all the quadrants is?

The centre of a circle is (2, -3) and the circumference is 10 pie. The equation of circle is?

The equation of the circle radius 5 in the first quadrant which touches x- axis and the line 4y = 3x is?

The slope of the tangent at the point (h,h) on the circle

is?

A lift of mass 920 kg has a capacity of 10 persons. If average mass of person is 68 kg. Friction force between lift and lift shaft is 6000 N. The minimum power of motor required to move the lift upward with constant velocity 3 m/s is

An inductor of inductance 10 mH and a resistance of is connected to a battery of 20 V at t = 0. Find the ratio of current in circuit at t = infinity to current at t = 40 sec.

Find the dimension of

A capacitor of 60 pF charged to 20 volt. Now battery is removed and then this capacitor is connected to another identical uncharged capacitor. Find heat loss in nJ.

A battery of unknown emf connected to a potentiometer has balancing length 560 cm. If a resistor of resistance

is connected in parallel with the cell the balancing length change by 60 cm. If the

internal resistance of the cell is

, the value of 'n' is

Half life of 90Sr is 6.93 years. In a child body 1 ug of 90Sr dopped in place of calcium, how many years will it take to reduce its concentration by 90% (Assume no involvement of Sr in metabolism).

Cl2 on reaction with hot & conc. NaOH gives two chlorine having products X and Y. On treatment with AgNO3, X gives precipitate. Determine average bond order of Cl and O bond in 'Y' ?

Each of solution A and B of 100 L containing 4 g NaOH and 9.8 g H2SO4. Find pH of solution which is obtain by mixing 40 L solution of A and 10 L solution of B?

Purest form of commercial iron is?

Focal length of convex lens in air is 16 cm (glass = 1.5). Now the lens is submerged in liquid of refractive index 1.42. Find the ratio of focal length in medium to focal length in air has closest value?

An ideal fluid is flowing in a pipe in streamline flow. Pipe has maximum and minimum diameter of 6.4 cm and 4.8 cm respectively. Find out the ratio of minimum to maximum velocity?

## Activity of a substance changes from 700 s–1 to 500 s–1 in 30 minute. Find its half-life in minutes?

Activity of a substance changes from 700 s–1 to 500 s–1 in 30 minute. Find its half-life in minutes?

Cascaded Carnot engine is an arrangement in which heat sink of one engine is source for other. If high temperature for one engine is T1, low temperature for other engine is T2 (Assume work done by both engine is same) Calculate lower temperature of first engine.

In a house 15 Bulbs of 45W,15 bulbs of 100W,15 bulbs of 10W and Two heaters of 1KW each is connected to 220 V Mains supply then find minimum fuse current?

If weight of an object at pole is 196 N then weight at equator is [g = 10 m/s2 ; radius of earth = 6400 Km]

Calculate the wavelength emitted during the transition of electron in between two levels of Li2+ ion whose sum is 4 and difference is 2.

Why electron cannot exist inside the nucleus according to Heisenberg’s uncertainty principle?

Organisms produced through asexual reproduction have low adaptability to the changing environment. Justify the statement

How much amount of energy will be liberated from 2 moles of glucose through cellular respiration?

Why Antibiotics can not kill viruses?

The real value of 'a' for which sum of square of the roots of the equation x*x -(a-3)x -(a+1) =0 assume the least value is?

How does cortical reaction prevents the entry of additional sperms into ovum?

Pollen grains are well preserved as microfossils due to the presence of sporopollenin. Explain the statement?

How does dicliny differs from prepotency as two outbreeding contrivances?

The chance of survival among young ones of viviparous animals are more than those of oviparous animals, why?

Name an organism showing oblique binary fission?

What are Lipids? Explain its functions?

What is Biomolecules?

What is Cytoskeleton? Please explain?

A regular polygon of nine sides, each of length 2, is inscribed in a circle. The radius of the circle is?

## Why Berilium and Al are placed in different periods and groups but they show the similar properties?

Why Berilium and Al are placed in different periods and groups but they show similar properties?

Why The radii of Ar is greater than the radii of chlorine?

Why Viroids differ from viruses?

A swimmer can swim in still water with a speed of 5 m/s. While crossing a river his average speed is 3 m/s. If he cross the river in the shortest possible time, what is the speed of flow of water?

Lichens are well known combination of an alga and a fungus where fungus has?

A current of 3 ampere was passed for 2 hours through a solution of CuSO4. 3 gm of Cu2+ ions were discharged at cathode calculate the current efficiency.

Cellulose is the major component of cell walls of?

The imperfect fungi which are decomposers of litter and help in mineral cycling belong to?

Chrysophytes, Euglenoids, Dinoflagellates and Slime moulds are included in the kingdom?

Bacterial cell divides every one minute. It takes 15 minutes a cup to be one-fourth full. How much time will it take to fill the cup?

Domain Eukarya includes how many kingdoms (w.r.t. six kingdom system)?

The protein coat called capsid made of small subunits called capsomeres are present in?

The sex organs are absent, but plasmogamy is brought about by fusion of two vegetative or somatic cells of different genotypes. It is the feature of?