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The normal to a curve at P(x, y) meet...

The normal to a curve at P(x, y) meets the x-axis at G. If the distance of G from the origin is twice the abscissa of P, then the curve is a (1) ellipse (2) parabola (3) circle (4) hyperbola

A

ellipse

B

parabola

C

circle

D

hyperbola

Text Solution

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The correct Answer is:
a
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MCGROW HILL PUBLICATION-HYPERBOLA-QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
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  2. The locus a point P(alpha,beta) moving under the condition that the li...

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  3. The normal to a curve at P(x, y) meets the x-axis at G. If the dist...

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  4. For the hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1; (0<alpha<pi/4)

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  5. The equation of the hyperbola whose foci are (-2, 0) and (2,0) and ecc...

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  6. A tangent to the hyperbola meets x-axis at P and y-axis at Q. Lines P...

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  7. A common tangent to the conics x^2=6y and 2x^2-4y^2=9 is

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  8. If P(3 sec theta,2 tan theta) and Q(3 sec phi , 2 tan phi) where theta...

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  9. The tangent at an extremity (in the first quadrant) of latus rectum of...

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  10. An ellipse passes through the foci of the hyperbola, 9x^2 - 4y^2 = 36 ...

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  11. The eccentricity of the hyperbola whose length of the latus rectum is ...

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  12. A hyperbola whose transverse axis is along the major axis of the conic...

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  13. Let a and b respectively be the semi-transverse and semi-conjugate axe...

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  14. The locus of the point of intersection of thestraight lines tx-2y-3t=...

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  15. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

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  16. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

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  17. If the tangent drawn to the hyperbola 4y^2=x^2+1 intersect the co-ordi...

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  18. If a hyperbola has length of its conjugate axis equal to 5 and the dis...

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  19. Equation of a common tangent to the parabola y^(2)=4x and the hyperbol...

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  20. Let 0 lt theta lt (pi)/2. If the eccentricity of the hyperbola (x^(2))...

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