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With a given point and line as focus and directrix, a series of ellipses are described. The locus of the extremities of their minor axis is an (a)ellipse (b)a parabola (c)a hyperbola (d)none of these

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With a given point and line as focus and directrix, a series of ellipses are described. The locus of the extremities of their minor axis is an ellipse (b) a parabola a hyperbola (d) none of these

Variable ellipses are drawn with x= -4 as a directrix and origin as corresponding foci. The locus of extremities of minor axes of these ellipses is:

Locus of the centre of the circle touching circles |z|=3 and |z-4|=1 externally is (A) a parabola (B) a hyperbola (C) an ellipse (D) none of these

A circle touches the x-axis and also thouches the circle with center (0, 3) and radius 2. The locus of the center of the circle is (a) a circle (b) an ellipse (c) a parabola (d) a hyperbola

A circle touches the line L and the circle C_1 externally such that both the circles are on the same side of the line, then the locus of centre of the circle is (a) Ellipse (b) Hyperbola (c) Parabola (d) Parts of straight line

A line of fixed length a+b moves so that its ends are always on two fixed perpendicular straight lines. Then the locus of the point which divides this line into portions of length aa n db is (a) an ellipse (b) parabola (c) straight line (d) none of these

The curve in the first quadrant for which the normal at any point (x , y) and the line joining the origin to that point form an isosceles triangle with the x-axis as base is (a) an ellipse (b) a rectangular hyperbola (c) a circle (d) None of these

Variable ellipses are drawn with x= -4 as a directrix and origin as corresponding foci. The locus of extremities of minor axes of these ellipses is: (a) y^2=4x (b) y^2=2x (c) y^2=x (d) x^2=4y

Let S and S'' be the fociof the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose eccentricity is i.e. P is a variable point on the ellipse. Consider the locus the incenter of DeltaPSS'' The eccentricity of the locus oc the P is (a) ellipse (b) hyperbola (a) parabola (d) circle

The locus of the points of trisection of the double ordinates of the parabola y^2 = 4ax is : (A) a straight line (B) a circle (C) a parabola (D) none of these

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The equation of the transvers and conjugate axes of a hyperbola are, ...

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  2. Show that the acute angle between the asymptotes of the hyperbola (x^2...

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  3. With a given point and line as focus and directrix, a series of ell...

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  4. If the vertex of a hyperbola bisects the distance between its center ...

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  5. Find the equation of the hyperbola which has 3x-4y+7=0 and 4x+3y+1=0 a...

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  6. If the ellipse (x^2)/4+y^2=1 meets the ellipse x^2+(y^2)/(a^2)=1 at fo...

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  7. The equation 16 x^2-3y^2-32 x+12 y-44=0 represents a hyperbola. (a)the...

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  8. If the base of a triangle and the ratio of tangent of half of base ang...

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  9. S1, S2, are foci of an ellipse of major axis of length 10 units and P ...

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  10. Let L L ' be the latus rectum through the focus of the hyperbola (x^2)...

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  11. Find the equation of the common tangent in the first quadrant of the c...

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  12. If the normal at P(theta) on the hyperbola (x^2)/(a^2)-(y^2)/(2a^2)=1 ...

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

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  14. Prove that in an ellipse, the perpendicular from a focus upon any tang...

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  15. Find the asymptotes of the curve xy-3y-2x=0.

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  16. With one focus of the hyperbola x^2/9-y^2/16=1 as the centre, a circle...

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  17. The equation of the passing through the of the ellipse (x^(2))/(16)+(y...

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  18. Two circles are given such that they neither intersect nor touch. Then...

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  19. lf the eccentricity of the hyperbola x^2-y^2(sec)^2alpha=5 is sqrt3 ...

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  20. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

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