The coordinates of the vertices BandC
of a triangle ABC
are (2, 0) and (8, 0), respectively. Vertex A
is moving in such a way that 42tanB2tanC=1.
Then find the locus of A
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Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.16x2−9y2=1
Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.y2=−8x
A variable line through point P(2,1)
meets the axes at AandB
. Find the locus of the circumcenter of triangle OAB
is the origin).
In Fig. 10.39, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠BEC = 130o and ∠ECD = 20⊙ Find ∠BAC˙
Find the equation of the circle with centre : (−2,3)and radius 4
Given that A(1,1)
are two points and D
is a point on AB
produced such that AD=3AB˙
Find the coordinates of D˙
having vertices A(acosθ1,asinθ1),B(acosθ2asinθ2),andC(acosθ3,asinθ3)
is equilateral, then prove that cosθ1+cosθ2+cosθ3=sinθ1+sinθ2+sinθ3=0.
If TP and TQ are the two tangents to a circle with centre O so that ∠POQ=110∘, then ∠PTQ is equal to