Sides of △ABC,AB=7cm,BC=5cm,CA=6cm. A pole is stand at mid point of side AC. Angle of elevation of pole from vertex B is 30∘, find height of pole (a) 37 (b) 327 (c) 221 (d) 27
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A circle cuts the chord on x-axis of length 4a. If this circle cuts the y-axis at a point whose distance from origin is 2b. Locus of its centre is (A) Ellipse (B) Parabola (C) Hyperbola (D) Straight line
Tangent at (1,e) on the curve y=x ex2, also passes through the point (a) (34,2e) (b) (35,e) (c) (34,3e) (d) (43,3e)
In a hyperbola, length of minor axis is 5 and distance between focii is 13. Then eccentricity is (A) 56 (B) 1213 (C) 1317 (D) 712
If the circles x2+y2−16x−20y+164=r2 and (x−4)2+(y−7)2=36 intersect at two points then (a) 1<r<11 (b) r=11 (c) r>11 (d) 0<r<1
Find the eccetricity of hyperbola through (4,2) whose centre is (0,0) length of transverse axis is 4 and transverse axis along x-axis.