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The total number of points on the curve ...

The total number of points on the curve `x^2-4y^2=1` at which the tangents to the curve are parallel to the line x=2y is

A

0

B

1

C

2

D

4

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The correct Answer is:
A
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TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. IF the lines y=-4x+b are tangents to the curve y=1/x, then b=

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  2. The point of the curve y^(2)=2(x-3) at which the normal is parallel to...

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  3. The total number of points on the curve x^2-4y^2=1 at which the tangen...

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  4. The normal to the curve x=a(1+cos theta), y=a sin theta " at " 'theta...

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  5. If x+y=k is normal to y^2=12 x , then k is 3 (b) 9 (c) -9 (d) -3

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  6. If the line ax+by+c=0 is a tangent to the curve xy=4 then

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  7. If the tangent to y^2=4ax at the point (at^2,2at), where |t|gt1 is a n...

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  8. The points on the curve 9y^2=x^3, where the normal to the curve makes ...

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  9. At what points on the curve y=2/3(x^3) + 1/2(x^2), tangents make equal...

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  10. The equation of the normal to the parabola, x^(2)=8y " at " x=4 is

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  11. If x=t^(2) and y=2t then equation of the normal at t=1 is

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  12. The equation of normal of x^2+y^2-2x+4y-5=0 at (2,1) is

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  13. The equation to the tangent to (x/a)^n + (y/b)^n = 2 at (a,b)

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  14. The equation of the tangent to the curve x=2cos^(3) theta and y=3sin^(...

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  15. The distance between the origin and the normal to the curve y=e^(2x)+x...

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  16. IF the slope of the tangent to the circle S=x^2+y^2-13=0 at (2,3) is m...

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  17. The normal to the curve x=a(cos theta + theta sin theta), y=a(sin thet...

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  18. The normal to the curve y=x^2-x+1 drawn at the points with the absciss...

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  19. The normal to the curve x^(2)+2xy-3y^(2)=0, at (1,1)

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  20. The sum of the intercepts made on the axes of coordinates by any tange...

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