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A point P on an ellipse is at a distance of 6 units from a focus. The eccentricity of the ellipse is 3/5, then the distance of P from the corresponding directrix is

1) 8/5 2) 5/8 3) 10 4) 12 5) None of these Solution: (3) 10 The focus is S and... View Article

1) x = cos θ – 1, y = 2 sin θ – 1 2) x = 2cos θ –... View Article

1) [4 – √7] / 3 2) – [4 + √7] / 3 3) [1 + √7] / 3 4)... View Article

1) k = – 1 / 2 2) k > – 1 / 2 3) k < – 1 /... View Article

1) 12 2) 15 3) 18 4) 21 Solution: (3) 18 2x2 + 16x + 3k = 0 ɑ +... View Article

1) 5x2 – 9x + 27 = 0 2) 5x2 + 9x + 27 = 0 3) 5x2 – 9x... View Article

1) {± 2, ± √2} 2) {± 3, ± √3} 3) {± 5, ± √5} 4) {± 6, ± √6}... View Article

1) 4 2) -4 3) 3 4) -3 Solution: (1) 4 x = √12 + √12 + √12 ….. upto... View Article

1) Real and distinct 2) Complex 3) Real and equal 4) None Solution: (1) Real and distinct (a – b)... View Article

1) A.P. 2) G.P. 3) H.P 4) None of these Solution: (1) A.P. ax2 + 2bx + c = 0... View Article

1) ɑ = β2 2) ɑ3 = β 3) ɑ + β = ɑ β 4) ɑ β = 1... View Article

1) (1 / 2) (a2 + b2) 2) (- 1 / 2) (a2 + b2) 3) [(a + b) /... View Article

1) p2 + 4q2 = (1 + 2q)2 2) 4p2 + q2 = (1 + 2q)2 3) p2 – 4q2... View Article

1) {- 1, – 1 / 3, – 3} 2) {1, 1 / 3, 3} 3) {- 1, 1 /... View Article

1) G. P. 2) H.P. 3) A.P. 4) None of these Solution: (1) G. P. ɑ, β are roots of... View Article

1) 28x2 – 20x + 1 = 0 2) 20x2 – 28x + 1 = 0 3) x2 – 20x... View Article

1) 1, 6 2) –1, –6 3) –1, 6 4) 1, –6 Solution: (2) –1, –6 (2k + 3)x2 +... View Article

1) 10 2) 19 3) –24 4) –32 Solution: (2) 19 4x2 – 6x + p = 0 ɑ +... View Article

1) – 27 / 64 2) 225 / 343 3) 63 / 16 4) 63 / 64 Solution: (2) 225... View Article

1) < 4 ab 2) > – 4 ab 3) = – 4 ab 4) > 4 ab Solution: (2)... View Article