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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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SHARAM PUBLICATION-QUESTION PAPER 2020-EXERCISE
  1. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

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  2. Find the approximate value of sqrt(48.96)

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

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

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

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  7. Solve: xdy/dx+y=y^2ln x

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

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

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  10. If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...

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

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  12. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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

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  14. If "sin"^(-1)x + "sin"^(-1)y +"sin"^(-1)z = pi "prove that" x^4+y^4+z^...

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  15. Solve the following LPP graphically Optimize Z=5x1+25x2 subject to -0....

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  16. If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...

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  17. Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...

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  18. The probability of a shooter hitting a target is (3)/(4) Find the mini...

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  19. If y=x^(sinx)+x^3 (sqrt(x^2+4))/(sqrt(x^3+3)) find (dy)/(dx).

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  20. Show that the semivertical angle of a cone of given slant height is ta...

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