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The equation of the normal to the ellips...

The equation of the normal to the ellipse `(x^(2))/(a^(2)) + (y^(2))/(b^(2))=1 ` at the point `(a cos theta, b sin theta)` on it is-

A

`ax sin theta - by cos theta = a^(2) - b^(2) `

B

`ax sin theta + by cos theta = a^(2) - b^(2) `

C

`ax cos theta - by sin theta = (a^(2) - b^(2) ) sin theta cos theta `

D

`ax sin theta - by cos theta = (a^(2) - b^(2) ) sin theta cos theta `

Text Solution

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 3
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  2. The area (in square unit ) bounded by the curve y= sinx between the o...

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

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

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

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

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

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

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

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

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

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

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

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  14. If the function f(x)= 2x^(3)-9ax^(2) +12a^(2)x +1, where a gt 0 attai...

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  15. A land in the form of a circular sector has been fenced by wire of 40 ...

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  16. The maximum value of the function f(x)=3 cos x - 4 sin x is-

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  17. The function f(x)= (lamda sin x + 6 cos x )/(2 sin x + 3 cos x) is ...

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  18. The surface area of a spherical bubble is increasing at the rate of ...

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  19. A point on the parabola y^(2)=18x at which the ordinate increases at t...

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  20. A function y=f(x) has a second order derivative f''(x)=6(x-1). If its ...

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