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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. A particle moves along the curve y=x^((3)/(2)) in the first quadrant i...

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  2. A balloon is filled in such a way that its volume increases at the rat...

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  3. Match the following :

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  4. The equation of normal to the curve x+y=x^(y) where it cuts X -axis is...

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  5. The intercept on X - axis made by tangent to the curve y=int(0)^(x)|t|...

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  6. The point on the curve y^(3)+3x^(2)=12y where the tangent is vertical ...

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  7. The function f(x)=x^(2)f(1)-xf'(2)+f''(3) such that f(0)=2. The equati...

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  8. For …………… value of a, function f(x)=sin x-cos x - ax+b AA x in R is a ...

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  9. Out of the following which statement is true for x in (0,1) ?

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  10. f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2))))dx then f is …………

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  11. If f(x)=x^(3)+ax^(2)+bx+5sin^(2)x, AA x in R is an increasing function...

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  12. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt 0, attains ...

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  13. A rectangle has one side on the positive side of Y - axis and one side...

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  14. The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local maximum at ……… a...

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  15. Equation of line passing through a point (1, 4) and the sum of the int...

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  16. p(x)=a(0)+a(1)x^(2)+a(2)x^(4)+…………+a(n)x^(2n) is a polynomial with rea...

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  17. A tangent drawn to the curve x=e^(t)cos t, y=e^(t) sin t at t=(pi)/(4)...

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  18. The approximate value of sin^(-1)(0.51) is ………..

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  19. A stone is thrown in upward direction. Its equation is S=80 t-16 t^(2)...

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  20. If there is an error 4% in the area of circle, then the error in radiu...

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