If , are pairwise perpendicular unit vectors, then is equal to

If the projection of point on the plane is the point then

Projection of on is equal to

Urn contains6 rred and4 black balls and urn contains4 rred and 6 black balls One ball is drawn at random urn and placed in urn B Then one ball is drawn at random urn and placed in urn If one ball is now drawn at random urn , the probability that it is ffound to be red, is

If and are events with and , then

An unbiased dice is tossed until a number greater than 4 appears The probability that an even number of tosses is
needed is

A coin is tossed 10 times The probability of getting exactly six heads is

The letter of the word 'ASSASSlN' are written down at random in a row The probability that no two S occur together is

Let be three mutually independent events Consider the Two Statement and : and are independent and are independent Then

The locus of the foot of perpendicular drawn from the centre

The equations of tangents to the ellipse , which are inclined at 60° to x-axis, are

The area of the triangle formed by the lines joining the vertex of the parabola to the ends of its latus rectum is

The length of chord of contact of the tangents drawn from the point (2, 5) to the parabola

Area bounded by curve ‐axis between and is

For such questions, we should know different formulas of integrals.

If , then is equal to

The integral is equal to