If the tangent to the curve y = x + siny at a point (a, b) is par

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 Multiple Choice QuestionsMultiple Choice Questions

341.

If f : R  R is defined by f(x) = 45 forx  R, where y denotes the greatest integer not exceeding y, then fx : x < 71 is equal to

  • 0, 

  • 1, 

  • 4, 

  • 5, 


342.

The condition that f(x) = a + bx2 + cx + d has no extreme value, is

  • b2 > 3ac

  • b2 = 4ac

  • b2 = 3ac

  • b2 < 3ac


343.

If there is an error of ± 0.04cm in the measurement of the diameter of a sphere, then the approximate percentage error in its volume, when the radius is 10cm, is

  • ± 1.2

  • ± 0 . 06 

  • ± 0 . 006

  • ± 0 . 6


344.

If x+ y2 = 25, then log5[max(3x + 4y)] is

  • 2

  • 3

  • 4

  • 5


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345.

If the tangent to the curve y = x + siny at a point (a, b) is parallel to the line joining 0, 32 and 12, 2 then

  • b - a = 1

  • b = π2 + a

  • a +b = 1

  • b = a


A.

b - a = 1

y = x + sinydydx = 11 - cosy = 12 - 02 - 32 = 1 cosy = 0  y = 2n + 1π2Point lie on curve b = a + sinyb - a = sinyb - a = 1


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346.

The derivative of tan-11 + x2 - 1x with respect to tan-12x1 - x21 - 2x2 at x = 12 is :

  • 310

  • 312

  • 235

  • 233


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