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The foot of the normal 3x+ 4y =7 to the...

The foot of the normal ` 3x+ 4y =7` to the hyperbola ` 4x^(2) -3y^(2)=1` is

A

` (1,1) `

B

`( 1,-1)`

C

`(-1,1)`

D

`(-1,-1) `

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The equation of the tangents to the hyperbola (x^(2))/( 9) -( y^(2))/...

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  2. The equation of the normal to the hyperbola (x^(2))/(25) -(y^(2))/(9)...

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  3. The foot of the normal 3x+ 4y =7 to the hyperbola 4x^(2) -3y^(2)=1 i...

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  4. The maximum number of normals to hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 f...

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  5. The equation of the normal at the positive end of the latus rectum of ...

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  6. Let A (2sec theta, 3 tan theta ) and B( 2sec phi ,3 tan phi ) where t...

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  7. P(theta ) and Q( phi ) are two point on x^(2)//a^(2) -y^(2)//b^(2) =...

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  8. A normal to the hyperbola x^(2)//a^(2) -y^(2)//b^(2) =1 cuts the axes...

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  9. If the normal at theta on the hyperbola x^(2)//a^(2) -y^(2) //b^(2)...

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  10. If alpha and beta are two points on the hyperbola x^(2)/a^(2)-y^(2)/b^...

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  11. If the axes are rotated through an angle of 45^(@) in the anticlockw...

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  12. If the circle x ^(2) +y^(2) =a^(2) intersects the hyperbola xy =c^(...

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  13. If PN is the perpendicular from a point on a rectangular hyperbola to ...

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  14. The conic represented by x^(2) -4x+ 3y -1=0 is

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  15. The conic represented by 2x^(2) -12xy +23y^(2) -4x -28y -48 =0 is

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  16. x^(2) -y^(2) +5x +8y -4=0 represents

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  17. The equation 16x^(2)+y^(2) +8xy-74x-78y+212 =0 represents

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  18. The equation (x^(2))/(12-k) +(y^(2))/( 8-k) =1 represents

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  19. A point moves in a plane so that its distances PA and PB from the two ...

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  20. The curve represented by x=3 (cos t + sin t ) ,y =4 (cos t -sin t ) ...

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