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The tangent to (at^(2), 2at) is perpendi...

The tangent to `(at^(2), 2at)` is perpendicular to X - axis at

A

(4a, 4a)

B

(a, 2a)

C

(0, 0)

D

(a, -2a)

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
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  2. The height and radius of a cylinder are equal. An error of 2% is made ...

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  3. The tangent to (at^(2), 2at) is perpendicular to X - axis at

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  4. The line y=mx+1 touches y^(2)=4x, if m = …………

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  6. f(x)=x^(x) decreases in ……….

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  7. f(x)=2|x-2|+3|x-4| is ………… in (2, 4).

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  8. The local maximum value of f(x)=x+(1)/(x) is ………….

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  9. The local minimum value of (x)/(log x) is ……….

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  10. If log(e )4=1.3868, then approximate value of log(e )4.01= …………..

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  11. The circumference of a circle is 20 cm and there is an error of 0.02 c...

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  12. If the line y = x touches the curve y=x^(2)+bx+c at (1, 1), then …………

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  13. y=ae^(x), y=be^(-x) intersect at right angles if ……….. (a ne 0, b ne 0...

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  14. Tangent to y=5x^(5)+10x+15 …………..

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  15. f(x)=2x+cot^(-1)x-log|x + sqrt(1+x^(2))| is …………..

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  16. The sum of two non - zero numbers in 12. The minimum sum of their reci...

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  17. The local minimum value of f(x)=x^(2)+4x+5 is ………..

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  18. The maximum value of f(x)=5cos x + 12 sin x is ………..

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  19. The minimum value of f(x)=3cos x + 4sin x is ………..

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  20. f(x)=x log x has minimum value ………

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