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The locus of the point of intersection o...

The locus of the point of intersection of the lines `sqrt3 x- y-4sqrt3 t= 0 & sqrt3 tx +ty-4 sqrt3=0` (where t is a parameter) is a hyperbola whose eccentricity is:

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Prove that the locus of the point of iter section of the lines sqrt3x-y-4sqrt3k=0 and sqrt3kx+ky=4sqrt3 for different values of'k is hyperbola whose eccentricity is 2

Prove that the locus of the point of intersection of the lines sqrt(3)x - y - 4 sqrt(3)k = 0 and sqrt(3)kx + ky - 4sqrt(3) = 0 for differenet values of k is a hyperbola whose eccentericity is 2.

For the variable t, the locus of the point of intersection of the lines 3 tx - 2y + 6t = 0 and 3x + 2ty - 6 = 0 is _

For the variable t, the locus of the points of intersection of lines 3tx-2y+6t=0 and 3x+2ty-6=0 is

Find the angle between the lines y-sqrt3 x - 5 = 0 and sqrt3 y -x + 6 = 0

The triangle formed by the line x+sqrt3y=0, x- sqrt3y=0 and x=4 is-

Find the angle between the two lines x-sqrt3y=3 and sqrt3x-y+1=0

The inclination of the line joining the points (3-sqrt(3)) and (sqrt(3),-1) is -

Find angle between the lines y - sqrt3x - 5 0 " and " sqrt3 y - x +6 = 0 .

The hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) = 1 passes through the point of intersection of the lines x + y = 3, 2x - 3y = 1. and its eccentricity is sqrt(3) , show that its length of latus rectum is 2sqrt(14) .

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the equation of hyperbola, whose center is (-3,2), one vertex is ...

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

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

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

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

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  6. If S and S'' are the foci, C is the centre, and P is a point on a rect...

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  7. 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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  8. If P N is the perpendicular from a point on a rectangular hyperbola x ...

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  9. A line of fixed length a+b moves so that its ends are always on two fi...

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  10. The equation of the transvers and conjugate axes of a hyperbola are, ...

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

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

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

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

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  16. If base of triangle and ratio of tangents of half of the base angles a...

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

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

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

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  20. If the normal at p(theta) on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^...

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