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Let A (2sec theta, 3 tan theta ) and B(...

Let A ` (2sec theta, 3 tan theta ) and B( 2sec phi ,3 tan phi ) where theta + phi =(pi)/(2) ` be two point on the hyperbola ` (x^(2))/( 4) -( y^(2))/( 9) =1 .` If `(alpha , beta ) ` is the point of intersection of normals to the hyperbola at A and B ,then` beta` =

A

` (-13)/( 3) `

B

`( 13)/(3) `

C

` (3)/(13) `

D

`( -3)/(13) `

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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The maximum number of normals to hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 f...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The curve represented by x=2 (cos t +sin t ) , y=5 (cos t -sin t ) is

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  19. The curve represented by x= a( cos h theta + sin h theta) , y =b ( co...

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  20. The graph represented by the equations x= sin ^(2) t, y = 2 cos t is

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