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Acute angle between the lines represented by (x² + y²)√3 = 4xy is

1) π/6 2) π/4 3) π/3 4) None of these Solution: Given equation is (x2 + y2)√3 = 4xy =>... View Article

1) Parallel 2) Coincident 3) Perpendicular 4) None of these Solution: Given 9x2 + 24xy + 16y2 + 21x +... View Article

1) a = 1, b = 6 2) a = 1, b = -6 3) a = 6, b =... View Article

1) θ 2) 2θ 3) θ/2 4) None of these Solution: Given x2 + 2xy sec θ + y2 =... View Article

1) (1, 3) 2) (-1, -3) 3) (3, 1) 4) (-3, -1) Solution: Given λx2 – 5xy + 6y2 +... View Article

1) h2 = ab 2) h = a + b 3) 8h2 = 9ab 4) 9h2 = 8ab Solution: Let... View Article

1) –6 2) –2 3) –4 4) 4 Solution: Let m1 and m2 be the slopes of the lines given... View Article

1) 1/3 2) 3/4 3) 4/3 4) 1 Solution: Let m1 and m2 be the slopes of the lines given... View Article

1) 4 2) 3 3) 2 4) None of these Solution: Given x2(sec2 θ – sin2 θ) – 2xy tan... View Article

1) 1/7 2) 16 3) 7 4) 12 Solution: Given (2, -3) lies on kx2 – 3y2 + 2x +... View Article

1) –3 2) –1 3) 3 4) 1 Solution: Given 6x2 – xy + 4cy2 = 0 …(i) One line... View Article

1) 0 2) 1 3) 4 4) 16 Solution: Given x2 + ky2 + 4xy = 0 Comparing with general... View Article

1) A pair of straight lines 2) A circle 3) A parabola 4) An ellipse Solution: Given y2 – x2... View Article

1) –2 2) –1 3) 2 4) 1 Solution: Let m1 and m2 be the slopes of the given lines.... View Article

1) a(b + c) = 0 2) b(c + a) = 0 3) c(a + b) = 0 4) a... View Article

1) Two parallel lines 2) Two perpendicular lines 3) Two lines through the origin 4) A circle Solution: Given 4x2... View Article

1) Parallel to x-axis 2) Parallel to y-axis 3) x-axis 4) y-axis Solution: Given x2 + 6xy = 0 =>... View Article

1) A pair of straight lines 2) A circle 3) An ellipse 4) A parabola Solution: Given 2y2 – xy... View Article

1) A parabola 2) two perpendicular lines 3) An ellipse 4) Two parallel straight lines Solution: Given xy + a2... View Article

1) a = 0 or b = c 2) a = b or a = c 3) c = 0... View Article