If P and Q are the points of intersection of the circles x2+y2+3x+7y+2p5=0and x2+y2+2x+2yp2=0, then there is a circle passingthrough P, Q and (1,1)for
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Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.x2=−16y
If line 3x−ay−1=0
is parallel to the line (a+2)x−y+3=0
then find the value of a˙
In what ratio does the x=axis divide the line segment joining the points (2,−3)
and (5, 6)?
Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.x2=−9y
If (b2−b1)(b3−b1)+(a2−a1)(a3−a1)=0 , then prove that the circumcenter of the triangle having vertices (a1,b1),(a2,b2) and (a3,b3) is (2a2+a3,2b2+b3)
The equation of curve referred to the new axes, axes retaining their directions, and origin (4,5)
. Find the equation referred to the original axes.
A man running a racecourse notes that the sum of the distances from the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. Find the equation of the posts traced by the man.
Express the polar equation r=2cosθ in rectangular coordinates.