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The two curves 2x^2+y^2=20,x^2-4y^2+8=0...

The two curves `2x^2+y^2=20,x^2-4y^2+8=0`

A

touch each other

B

cut orthoganally

C

cut at an angle of `45^@`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
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  2. The two curves y=(x+3)/(x^2+1),y=(x^2-7x+11)/(x-1) at (2, 1)

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  3. The two curves 2x^2+y^2=20,x^2-4y^2+8=0

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  4. The two curves x^2+y^2=25,2x^2-9y+18=0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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