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Show that the tangent to the curve x = a...

Show that the tangent to the curve `x = a (t - sin t), y = at (1 + cos t)` at
`t = pi/2` has slope.(1- pi/2)`

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MODERN PUBLICATION-SAMPLE PAPER 2020-EXERCISE
  1. Eliminate x,y,z from a=x/y-z, b=y/z-x, c=z/x-y

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  2. There are 25 girls and 15 boys in class XI and 30 boys and 20 girls in...

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  3. Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...

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  4. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

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  5. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

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  6. Find the approximate value of sqrt(48.96)

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  7. Solve : In((dy)/(dx)) = 3x+4y given that y=0, when x=0.

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  8. int(2sinx+3cosx)/(3sinx+4cosx)dx=?

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  9. Evaluate the following integrals : int(0)^(pi//2)log|(4+3sinx)/(4+3c...

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  10. The area between x=y^(2) and x=4 is divided into two equal parts by th...

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  12. Prove that the measure of the angle between two main diagonals of a cu...

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  13. Prove that the four points with position vectors 2veca+3vecb-vecc, vec...

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  15. Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...

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