The equation of tangent to hyperbola 4x2−5y2=20 which is parallel to x−y=2 is (a) x−y+3=0 (b) x−y+1=0 (c) x−y=0 (d) x−y−3=0
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The foci of the hyperbola 9x2−16y2=144
Find the centre, eccentricity, foci and directrices of the hyperbola : x2−3y2−2x=8.
Write the equation of the hyperbola of eccentricity 2
if it is known that the distance between its foci is 16.
Write the length of the latus rectum of the hyperbola 16x2−9y2=144.
The distance of the focus of x2−y2=4, from the directrix, which is nearer to it, is
Consider a branch of the hypebola x2−2y2−22x−42y−6=0 with vertex at the point A. Let B be one of the end points of its latus rectum. If C is the focus of the hyperbola nearest to the point A, then the area of the triangle ABC is (A) 1−32 (B) 23−1 (C) 1+32 (D) 23+1
If the foci of 16x2+4y2=1 and a2x2−3y2=1 coincide, the value of a is
Write the eccentricity of the hyperbola 9x2−16y2=144.