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Statement 1 : Tangents are drawn to the ...

Statement 1 : Tangents are drawn to the ellipse `(x^2)/4+(y^2)/2=` at the points where it is intersected by the line `2x+3y=1` . The point of intersection of these tangents is (8, 6). Statement 2 : The equation of the chord of contact to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` from an external point is given by `(xx_1)/(a^2)+(y y_1)/(b^2)-1=0`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The point of intersection of the tangents at the point P on the ellips...

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  2. The distance between two directrices of a rectangular hyperbola is 10 ...

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  3. Statement 1 : Tangents are drawn to the ellipse (x^2)/4+(y^2)/2= at th...

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  4. Find the equation of normal to the hyperbola 3x^2-y^2=1 having slope 1...

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  5. A triangle A B C with fixed base B C , the vertex A moves such that co...

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  6. Find the equation of normal to the hyperbola x^2-9y^2=7 at point (4, 1...

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  7. A circle has the same center as an ellipse and passes through the foci...

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  8. C is the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 The tangen...

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  9. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

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  10. The angle subtended by common tangents of two ellipses 4(x-4)^2+25 y^2...

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  11. P N is the ordinate of any point P on the hyperbola (x^2)/(a^2)-(y^2)/...

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  12. If P Q R is an equilateral triangle inscribed in the auxiliary circle ...

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  13. Show that the equation 9x^2-16 y^2-18 x+32 y-151=0 represents a hyperb...

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  14. Find the equation of hyperbola, whose center is (-3,2), one vertex is ...

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  15. An ellipse passing through the origin has its foci (3, 4) and (6, 8). ...

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  16. The locus of the point of intersection of the lines sqrt3 x- y-4sqrt3 ...

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  17. Find the eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-...

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  18. An ellipse having foci at (3, 3) and (-4,4) and passing through the or...

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  19. If Sa n dS ' are the foci, C is the center, and P is a point on a r...

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  20. Pa n dQ are the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and B is...

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