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The equation of the tangent to the curve...

The equation of the tangent to the curve `x^((2)/(3))+y^((2)/(3))= a^((2)/(3))` at the point `(a cos^(3) alpha , a sin^(3) alpha)` is-

A

`x cos alpha + y sin alpha= a sin alpha cos alpha`

B

`x cos alpha - y sin alpha = a sin 2 alpha `

C

` x sin alpha - y cos alpha= a sin 2 alpha `

D

`x sin alpha + y cos alpha = a sin alpha cos alpha`

Text Solution

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 3
  1. If the gradient of the tangent at any point (x,y) of a curve which pas...

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  2. The number of tangents that can be drawn from the point (6, 2) on the ...

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  3. The equation of the tangent to the curve x^((2)/(3))+y^((2)/(3))= a^((...

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  4. If the area enclosed by the parabola x^(2)=72y and the line y=k be 64 ...

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  5. Two intersecting circles have their radii 1 metre and sqrt(3) metre. T...

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  6. The equation of the tangent to the curve y= be^(-(x)/(a)) at the poin...

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  7. The equations of the two common tangents to the circle x^(2) +y^(2)=2a...

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  8. If the curve y= a sqrt(x) + bx passes through the point (1, 2) and t...

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  9. The area (in square unit ) bounded by the curve y= sinx between the o...

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  10. The equation of the normal to the ellipse (x^(2))/(a^(2)) + (y^(2))/(b...

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  11. The point on the curve sqrt(x) + sqrt(y) = sqrt(a), the normal at whic...

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  12. The slope of the tangent to the curve x= 3t^(2) +1, y=t^(3)-1 at x=1...

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  13. If the area above the x-axis bounded by the curve y=2^(kx) and the lin...

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  14. If the line x+y =1 is a tangent to the parabola y^(2)-y +x=0, then th...

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  15. The angle between the curves y= sin x and y= cos x is-

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  16. The function f(x)=cos x - 2ax is monotonically decreasing when-

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  17. If PQ and PR are the two sides of a triangle, then the angle between ...

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  18. The function f(x)=x^(3) +3x^(2) +4x+7 is increasing for-

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  19. If x+y=60, x, y gt 0, then the maximum value of xy^(3) is-

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  20. The points of extrema of f(x)= int(0)^(x) (sin t)/(t)dt in the domain ...

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