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If the sum of the squares of the interce...

If the sum of the squares of the intercepts on the axes cut off by the tangent to the curve ` x^(1//3)+y^(1//3)=a^(1//3) (" with " a gt 0) ` at `(a//8 , a//8)` is 2, then a has the value

A

1

B

2

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-TANGENTS AND NORMALS-Exercise
  1. At what points on the curve y=x^2-4x+5 is the tangent perpendicu...

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  2. The points of contact of the tangents drawn from the origin to the cur...

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  3. If the area of the triangle included between the axes and any tangent ...

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  4. The tangents to the curve x=a(theta - sin theta), y=a(1+cos theta) at ...

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  5. The slope of the tangent to the curve y=sin^(-1) (sin x) " at " x=(3pi...

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  6. The slope of the tangent to the curve y=cos^(-1)(cos x) " at " x=-(...

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  7. The equation of the tangent to the curve y=e^(-|x|) at the point wher...

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  8. The number of points on the curve y=x^(3)-2x^(2)+x-2 where tangents ar...

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  9. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

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  10. The slope of the tangent to the curve y =sqrt(9-x^(2)) at the point wh...

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  11. The slope of the tangent to the curve y=x^(2) -x at the point where th...

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  12. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

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  13. The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at...

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  14. The two tangents to the curve ax^(2)+2h x y+by^(2) = 1, a gt 0 at the ...

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  15. Let P(2, 2) and Q(1//2, -1) be two points on the parabola y^(2)=2x, Th...

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  16. Any tangent to the curve y=2x^(5)+4x^(3)+7x+9

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  17. The normal to the curve 5x^5 – 10x^3 + x - 2y + 6= 0 at P (0, 3) meets...

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  18. The lines parallel to the normal to the curve x y=1 is/are 3x+4y+5=0 ...

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  19. Let P be the point (other than the origin) of intersection of the curv...

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  20. If the sum of the squares of the intercepts on the axes cut off by the...

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