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A normal to the hyperbola (x^2)/4-(y^2)/...

A normal to the hyperbola `(x^2)/4-(y^2)/1=1` has equal intercepts on the positive x- and y-axis. If this normal touches the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` , then `a^2+b^2` is equal to 5 (b) 25 (c) 16 (d) none of these

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MCGROW HILL PUBLICATION-HYPERBOLA-EXERCISE LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. Locus of the mid-point of the chord of the hyperbola which is a tange...

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  2. H(1) xy = CA^(2) and H(2) : xy = k^(2) are two different hyper­bolas. ...

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  3. e(1),e(2) are respectively the eccentricites of the hfyperbola x^(2)-...

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  4. If theta is an angle between the two asymptotes of the hyperbola (x^(...

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  5. A and B are two points on the hyperbola O is the centre. If OA is perp...

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  6. The coordinates of a point common to a directrix and an asymptote of t...

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  7. If the normals at P, Q, R on the rectangular hyperbola xy = c2 interse...

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  8. If a diameter of a hyperbola meets the hyperbola in real points then

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  9. An ellipse has eccentricity 1/2 and one focus at the point P(1/2,1)....

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  10. Find the equation of the asymptotes of the hyperbola xy = hx + ky.

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  11. A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on th...

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  12. A rectangular hyperbola of latus rectum 2 units pass­es through (0,0) ...

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  13. Let H be a hyperbola of eccentricity 3. A normal to the hyperbola meet...

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  14. Tangent at point P (a sec theta, b tan theta) to the hyperbola meets ...

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  15. If two tangents drawn from the point (2, a) to the hyperbola are at ri...

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  16. The locus of a point whose chord of contact with respect to the circle...

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  17. If eccentricity of the hyperbola 4 and y = mx + c is a tangent to the...

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  18. Asymptotes of a rectangular hyperbola are x = 5 and y = 4. If the hype...

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