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If PQ is a double ordinate of the hyperb...

If PQ is a double ordinate of the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`
such that OPQ is an equilateral triangle, O being the centre of the hyperbola, then find range of the eccentricity (e) of the hyperbola.

A

5

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
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VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
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  2. For the hyperbola x^2/ cos^2 alpha - y^2 /sin^2 alpha = 1;(0 lt alphal...

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  3. If PQ is a double ordinate of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

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  4. The line y=x+2 touches the hyperbola 5x^2-9y^2=45 at the point

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  5. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

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  6. If the curves (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 (agtb) and x^(2)-y(2)=...

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  7. about to only mathematics

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  8. The point of intersection of two tangents to the hyperbola (x^2)/(a^2)...

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  9. about to only mathematics

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  10. The absolute value of slope of common tangents to parabola y^(2) = 8x ...

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  11. Find the equations to the common tangents to the two hyperbolas (x^2)/...

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  12. If P(a sec alpha,b tan alpha) and Q(a secbeta, b tan beta) are two poi...

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  13. Radii of director circles of curves (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ...

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  14. The equation of chord of the hyperbola 25x^2- 16y^2 =400 which is bise...

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  15. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

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  16. about to only mathematics

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  17. Find the locus of the midpoints of the chords of the circles x^(2)+y^(...

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  18. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

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  19. If the straight line lx+my+n=0 be a normal to the hyperbola (x^2)/(a^2...

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  20. The pole of the line lx+my+n=0 with respect to the hyperbola (x^(2))/(...

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