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The curves y=x^2-1,y=8x-x^2-9 touch each...

The curves `y=x^2-1,y=8x-x^2-9` touch each other at the point (2, 3). The equation of the common normal is

A

`4x+y+5=0`

B

`4x-y-5=0`

C

`x+4y-14=0`

D

`x-4y+14=0`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The two curves x^2+y^2=25,2x^2-9y+18=0

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  2. The curves y=x^3-3x^2-8x-4,y=3x^2+7x+4 touch at the point (-1, 0). The...

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  3. The curves y=x^2-1,y=8x-x^2-9 touch each other at the point (2, 3). Th...

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  4. The angle between the curves y^2=4x and x^2=2y-3 at the point (1, 2) i...

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  5. The angle between the curves y^2=8x,x^2=4y-12 at (2, 4) is

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  6. The angle between the curves xy=4 and x^2-y^2=15 at the point (-4, -1)...

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  7. The angle between the curves y^2=4x+4 and y^2=36(9-x) is

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  8. The angle between curves y^2=4ax,ay=2x^2 is

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  9. The angle between the curves y^2=x,x^2=y at (1, 1) is

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  10. The curves y=3x^2,y^2=2x intersect at origin

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  11. The angle between the curves y^2=4x,x^2=4y at (0, 0) is

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  12. The curves y=x^3, 6y=7-x^2 intersect at (1, 1) at an angle of

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  13. The angle between the curves y=x, y=1//x at (1, 1) is

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  14. The angle between the curves x^2=2y,x^2+y^2=8 at (2, 2) is

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  15. The angle between the curves x^2=4y,x^2+y^2=5 at (-2, 1) is

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  16. The angle between the curves x^2=4y,y^2=4x at (4, 4) is

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  17. The angle between the curves x^2=4y,x^2+y^2=5 at (-2, 1) is

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  18. If theta is the angle between the curves y^2=4ax,ay=2x^2 at (a, 2a), t...

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  19. If theta is the angle between the curves xy=2,y^2=4x at (1, 2), then t...

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  20. Find the angle between the curves xy=2 and x^(2)+4y=0

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