The angle between the curves y = 4x + 4 and y2 = 36(9 - x) is fr

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

Advertisement

331.

The angle between the curves y = 4x + 4 and y2 = 36(9 - x) is

  • 30°

  • 45°

  • 60°

  • 90°


D.

90°

Given curves are        y2 = 4x + 4 and y2 = 369 - x      ...iOn solving, we get the points (8, 6) and (8, -6)On differentiating Eq. (i), we get  2ydydx = 4 and 2ydydx = - 36 dydx = 2y and dydx = - 18yAt point (8, 6),m1 = dydx = 26 = 13 and m2 = dydx = - 186 = - 3 tanθ = 13 + 31 + 13 × - 3 = 1030 = - 3       θ = π2And at point 8, - 6,       m1 = dydx = 2- 6 = - 13and m2 = dydx = - 18- 6 = 3 tanθ = - 13 - 31 + - 13 . 3 = 1030 =        θ = π2


Advertisement
332.

If m and M respectively denote the minimum and maximum of f(x) = (x - 1)2 + 3 for x [- 3, 1], then the ordered pair (m, M) is equal to

  • (- 3, 19)

  • (3, 19)

  • (- 19, 3)

  • (- 19, - 3)


333.

The length of the subtangent at (2, 2) to thecurve x5 = 2y4 is

  • 52

  • 85

  • 25

  • 58


334.

There is an error of ± 0.04cm in the measurement of the diameter of a sphere. When radius is 10cm, the percentage error in the volume of the sphere is

  • ± 1.2

  • ± 1.0

  • ± 0.8

  • ± 0.6


Advertisement
335.

The function fx = x3 +ax2 + bx +c, a2  3b has

  • one maximum value

  • one minimum value

  • no extreme value

  • one maximum and one minimum value


336.

The maximum value of log(x)x, 0 < x <  is

  • e

  • 1

  • e - 1


337.

z = tany +ax +y - ax  zxx - a2zyy =?

  • 0

  • 2

  • zx + zy = 0

  • zxzy


338.

The height of the cone of maximum volume inscribed in a sphere of radius R is

  • R3

  • 2R3

  • 4R3

  • 4R3


Advertisement
339.

If the distance s travelled by a particle in time t is given by s = t- 2t + 5, then its acceleration is

  • 0

  • 1

  • 2

  • 3


340.

The length of the sub tangent at any point (x1, y1) on the curve y = 5x is

  • 5x1

  • y15x1

  • loge5

  • 1loge5


Advertisement