## What is the parameter 'p' such that the area bounded by y = p2x2 + px + 1, co-ordinate axi….

What is the parameter 'p' such that the area bounded by y = p2x2 + px + 1, co-ordinate axis and the line x = 1, attains it's least value?

=

## The integrating factor of the differential equation  is….

The integrating factor of the differential equation  is

is equal to

## Assertion (A) : If  exists, then .Reason (R) :  is defined …..

Assertion (A) : If  exists, then .Reason (R) :  is defined .

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## Two men P and Q start with velocities v at the same time from the junction of two roads inclined at ….

Two men P and Q start with velocities v at the same time from the junction of two roads inclined at 45o to each other. If they travel by different roads, what is the rate at which they are being separated?

## Let x, y, z be positive real numbers satisfying the equation 2xy + 3yz + 4zx = 18. If x0, y0, z0 be ….

Let x, y, z be positive real numbers satisfying the equation 2xy + 3yz + 4zx = 18. If x0, y0, z0 be the values of x, y, z respectively for which xyz attains its maximum value, then x0 + y0 + z0 is equal to

## Total number of points of non-differentiability of  is….

Total number of points of non-differentiability of  is

Let x > 0 then

## If  and x is not real, then ….

If  and x is not real, then

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