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BITSAT 2019 Math Coordinate Geometry Revision Quiz 2
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Question 1
The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci , is
Question 2
Find the equation of the hyperbola whose directrix is 3x+4y =2, focus S(1,2) and eccentricity 
.
. Question 3
An ellipse has eccentricity 
and one focus at the point 
. It’s one directrix is the common tangent nearer to the point P, to the circle x2 + y2 = 1 and the hyperbola x2 – y2 = 1. The equation of the ellipse in the standard form, is
and one focus at the point . It’s one directrix is the common tangent nearer to the point P, to the circle x2 + y2 = 1 and the hyperbola x2 – y2 = 1. The equation of the ellipse in the standard form, is
Question 4
Let S and S’ be the foci of an ellipse and B be any one of the extremities of its minor axis. If ΔS’BS is a right angled triangle with right angle at B and area (ΔS’BS) = 8 sq. units, then the length of a latus rectum the ellipse is :
Question 5
The abscissae of A and B are the roots of the equation x2 + 2ax – b2 = 0 and their ordinates are the roots of the equation y2 + 2py – q2 = 0 . The equation of the circle with AB as diameter
Question 6
The normal at the point (3, 4) on a circle cuts the circle at the point (–1, –2). Then the equation of the circle is
Question 7
Tangents are drawn from the point (4, 3) to the circle x2 +y2 = 9 . The area of the triangle formed by them and the line joining their points of contact is
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Jan 29JEE & BITSAT
