If x2 + y2 = t + 1t, x4&n

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

431.

If u = sin-1x4 + y4x + y, then xux + yuy = ?

  • 3u

  • 4u

  • 3sin(u)

  • 3tan(u)


432.

If y = logexx and z = logex, then d2ydx2 + dydz = ?

  • e - z

  • 2e - z

  • ze - z

  • - e - z


433.

If fx = logexx - 2x + 234, then f'0 = ?

  • 14

  • 4

  • - 34

  • 1


434.

If xy  0, x + y  0 and xmyn = x + ym + n,where m, n not belongs to N, then dydx = ?

  • yx

  • x + yxy

  • xy

  • xy


Advertisement
Advertisement

435.

If x2 + y2 = t + 1t, x4 + y4 = t2 + 1t2, thenx3ydydx = ?

  • - 1

  • 1

  • 0

  • t


A.

- 1

Given, x4 + y4 = t2 + 1t2= t + 1t2 - 2= x2 + y22 - 2   x2 + y2 = t + 1t, given x4 + y4 = x4 + y4 + 2x2y2 - 2 x2y2 = 1 y2 = 1x2On differentiating w.r.t. x, we get2ydydx = - 2x3x3ydydx = - 1


Advertisement
436.

If the volume of a sphere increases at the rate of 2π cm3/ s, then the rate of increase of its radius(in cm/s), when the volume is 288π cm3, is

  • 136

  • 172

  • 118

  • 19


437.

Let f be a non-zero real valued continuous function satisfying f(x + y) = f(x) · f(y) for all x, y ∈ R. If f(2) = 9, then f(6) is equal

  • 32

  • 36

  • 34

  • 33


438.

limx0 tan3x - sin3xx5 = ?

  • 52

  • 32

  • 35

  • 25


Advertisement
439.

If fx = 11 + 1x and gx = 11 + 1fx, then g'2 = ?

  • 15

  • 125

  • 5

  • 116


440.

If yx + xy = 2, then dydx = ?

  • x2 + y2x + y

  • x2 - y2x + y

  • 1

  • 2


Advertisement