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For hyperbola whose center is at (1, 2) ...

For hyperbola whose center is at (1, 2) and the asymptotes are parallel to lines `2x+3y=0` and `x+2y=1` , the equation of the hyperbola passing through (2, 4) is (a) `(2x+3y-5)(x+2y-8)=40`
(b) `(2x+3y-8)(x+2y-5)=40` (c) `(2x+3y-8)(x+2y-5)=30` (d) none of these

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  5. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

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  6. If the mid-point of a chord of the ellipse (x^2)/(16)+(y^2)/(25)=1 (0,...

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  7. Let the distance between a focus and the corresponding directrix of an...

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  8. If S=0 is the equation of the hyperbola x^2+4x y+3y^2-4x+2y+1=0 , then...

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  9. Suppose xa n dy are real numbers and that x^2+9y^2-4x+6y+4=0 . Then th...

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  10. A hyperbola passes through (2, 3) and has asymptotes 3x-4y+5=0 and 12x...

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  11. From any point to the hyperbola x^2/a^2-y^2/b^2=1, tangents are drawn...

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  12. The locus of the image of the focus of the ellipse (x^2)/(25)+(y^2)/9=...

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  13. Let P(a sectheta, btantheta) and Q(asecphi , btanphi) (where theta+p...

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  14. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

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  15. The equation 3x^2+4y^2-18x+16 y+43=k represents an empty set, if k<0 ...

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  16. If a ray of light incident along the line 3x+(5-4sqrt2)y=15 gets refle...

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  17. If the sum of the slopes of the normal from a point P to the hyperbola...

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

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  19. The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 from w...

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