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If H is the number of horizontal tangent...

If H is the number of horizontal tangents and V is the number of vertical tangents to the curve `y^3-3xy +2=0`, then the value of `(H+ V)` equals

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  2. Let C be the curve y=x^3 (where x takes all real values). The tangent ...

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  3. If H is the number of horizontal tangents and V is the number of verti...

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  4. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

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  5. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) Then (a) touch each oth...

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  6. If the length of sub-normal is equal to the length of sub-tangent at ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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