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If equation of normal at a point (m^2-m^...

If equation of normal at a point `(m^2-m^3)` on the curve `x^3-y^2=0` is y=3mx`-4m^3` then `m^2` equals

A

0

B

1

C

-2/9

D

`2//9`

Text Solution

Verified by Experts

The correct Answer is:
D
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MOTION-TANGENT & NORMAL-EXERCISE 2
  1. The equation of the normal to the curve y^2=4ax at point (a,2a) is

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  2. For the curve x = t^2 - 1, y = t^2 - t, the tangent line is perpendicu...

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  3. If equation of normal at a point (m^2-m^3) on the curve x^3-y^2=0 is y...

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  4. If x+4y=14 is a normal to the curve y^2=alphax^3-beta at (2,3), then t...

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  5. The equation of tangent drawn to the curve y^(2)-2x^(3)-4y+8=0 from th...

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  6. If the tangentat P of the curve y^2 = x^3 intersect the curve again at...

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  7. Let C be the curve y=x^3 (where x takes all real values). The tangent ...

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  8. The line (x)/(a)+(y)/(b)=1 touches the curve y=be^(-x//a) at the point

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  9. The tangent to y=a x^2+b x+7/2a t(1,2) is parallel to the normal at...

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

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

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  12. The beds of two rivers (within a certain region) are a parabola y = x^...

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  13. Find the angle of intersection of curves y = x^3 and 6y = 7 - x^2 at p...

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  14. Find the angle of intersection between the curves y=a^x and y=b^x

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  15. If the curves (x^2)/(a^2)+(y^2)/(b^2)=1 and (x^2)/(l^2)-(y^2)/(m^2)=1c...

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  16. If curves y^2=6x and 9x^2+by^2=16 intersect orthogonally, then b is eq...

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  17. If the radius of a sphere is measured as 9 m with an error of 0.03 ...

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  18. The approximate change in the volume of a cube of side x metres cause...

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  19. A balloon is pumped at the rate of a cm^3 /minute. The rate of increas...

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  20. x and y are the sides of two square such that y=x-x^(2). The rate of c...

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