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Let a curve y=f(x),f(x)ge0, AA x in R ha...

Let a curve `y=f(x),f(x)ge0, AA x in R` has property that for every point P on the curve length of subnormal is equal to abscissa of p. If `f(1)=3`, then f(4) is equal to

A

`-2sqrt6`

B

`2sqrt6`

C

`3sqrt5`

D

None of these

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS -Exercise (Single Option Correct Type Questions)
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  4. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx ...

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  6. The graphs y=2x^(3)-4x+2and y=x^(3)+2x-1 intersect in exactly 3 distin...

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  7. In which of the following functions is Rolles theorem applicable? (a)f...

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  8. The figure shows a right triangle with its hypotenuse OB along the y-a...

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  9. Number of positive integral value(s) of a for which the curve y=a^(x) ...

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  10. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...

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  11. If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a...

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  14. Water runs into an inverted conical tent at the rate of 20 ft^3/ min a...

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  15. Let f(x)=x^3-3x^2+2x Find f'(x)

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  16. The Curve possessing the property that the intercept made by the tange...

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  17. If f(x) is continuous and differentible over [-2, 5] and -4lef'(x)le3 ...

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  18. A curve is represented parametrically by the equations x=t+e^(at) and ...

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  19. At any two points of the curve represented parametrically by x=a (2 co...

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  20. Let F(x)=int(sinx)^(cosx)e^((1+sin^(-1)(t))dt on [0,(pi)/(2)], then

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