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The x-intercept of the tangent at any ar...

The x-intercept of the tangent at any arbitrary point of the curve `a/(x^2)+b/(y^2)=1` is proportional to square of the abscissa of the point of tangency square root of the abscissa of the point of tangency cube of the abscissa of the point of tangency cube root of the abscissa of the point of tangency

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. If the length of sub-normal is equal to the length of sub-tangent at ...

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  2. At any point on the curve 2x^2y^2-x^4=c , the mean proportional betwee...

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  3. The x-intercept of the tangent at any arbitrary point of the curve a/(...

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  4. A curve is represented by the equations x=sec^2ta n dy=cott , where t ...

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  5. The two curves x=y^2,x y=a^3 cut orthogonally at a point. Then a^2 is ...

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  6. The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0...

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  7. Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) ...

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  8. The number of point in the rectangle {(x , y)}-12lt=xlt=12a n d-3lt=yl...

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  9. Consider a curve C : y=cos^(-1)(2x-1) and a straight line L :2p x-4y+2...

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  10. Statement 1: The tangent at x=1 to the curve y=x^3-x^2-x+2 again meets...

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  11. An aeroplane is flying horizontally at a height of 2/3k m with a veloc...

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  12. Use the mean value theorem to prove e^(x)ge1+xAA x(inR)

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  13. Find the condition for the line y= mx to cut at right angles the conic...

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  14. Show that for the curve b y^2=(x+a)^3, the square of the sub-tangent v...

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  15. Let a , b , c be three real numbers such that a < b < c f(x) is conti...

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  16. Prove that the portion of the tangent to the curve (x+sqrt(a^2-y^2))...

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  17. Let a , b , c be nonzero real numbers such that int0^1(1+cos^8x)(a x^2...

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  18. If f is continuous and differentiable function and f(0)=1,f(1)=2, then...

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  19. Sand is pouring from a pipe at the rate of 12c m^3//sdot The falling s...

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  20. Let (a0)/(n+1)+(a1)/n+(a2)/(n-1)++(a(n-1))/2+an=0. Show that there e...

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