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The straight lines joining the origin to the points of intersection of the line 2x + y = 1 and curve 3x² + 4xy – 4x + 1 = 0 include an angle

1) π/2 2) π/3 3) π/4 4) π/6 Solution: Given line : 2x + y = 1 …(i) Equation of... View Article

1) θ 2) θ/2 3) π/2 – θ 4) π/2 – θ/2 Solution: Given equation of lines is (x2 +... View Article

1) 300 2) 450 3) 600 4) tan-1(½) Solution: Given (a + 3b)(3a + b) = 4h2 => 3a2 +... View Article

1) 0 2) 3/2 3) 7/4 4) 5/4 Solution: Given 2x2 – 3xy + y2 = 0 Comparing with general... View Article

1) tan-1(¾) 2) tan-1(1/3) 3) tan-1(4/3) 4) tan-1(1/2) Solution: Given 4x2 – 24xy + 11y2 = 0 Comparing with general... View Article

1) π/2 2) π/4 3) π/3 4) π/6 Solution: Given √3x + y = 2 ..(i) => (√3x + y)/2... View Article

1) b/(1 + a) 2) -b/(1 + a) 3) a/(1 + b) 4) None of these Solution: Given ax2 –... View Article

1) 3, -3 2) -3, 1 3) 3, 1 4) -1, 1 Solution: Given x2 – y2 – x –... View Article

1) 2a2 2) a2/2 3) √3a2/2 4) 2a2/√3 Solution: Given x2 – 4y2 = 0 and x = a are... View Article

1) x2 – y2 = -4 2) x2 – y2 = 4 3) (x + y – 1)(x – y... View Article

1) ∆ = 0 and h2 = ab 2) ∆ = 0 and a + b = 0 3) ∆... View Article

1) Two parallel straight lines 2) Two perpendicular straight lines 3) Two intersecting lines 4) None of these Solution: Given... View Article

1) (5x + 3y + 11) (x + y + 3) = 0 2) (5x + 3y – 11) (x... View Article

1) px + qy = 0 2) px – qy = 0 3) p2x + q2y = 0 4) q2x... View Article

1) x – y cot θ = 0 2) x + y tan θ = 0 3) y sin θ... View Article

1) ax + by + 1 = 0, x + y = 0 2) ax + by – 1 =... View Article

1) g = 4, f = 9, c = 0 2) g = 2, f = 3, c = 1... View Article

1) 4λh = ab(1 + λ) 2) λh = ab(1 + λ)2 3) 4λh2 = ab(1 + λ)2 4) None... View Article

1) 3y2 + 8xy – 3x2 = 0 2) 3x2 + 8xy – 3y2 = 0 3) 3y2 – 8xy... View Article

1) p = 1 and q = 2 or 6 2) p = 2 and q = 0 or 6... View Article