1) π/2 2) π/4 3) π/3 4) none of these Solution: Given sides of parallelogram are lx + my + n = 0 ..(i) lx + my + n’ = 0 ..(ii) mx + ly + n =... View Article
1) 900 2) 00 3) tan-1(2) 4) tan-1(1/2) Solution: Let A(2, -1), B(0, 2), C(2, 3) and D(4, 0) be the vertices of a quadrilateral. Slope of... View Article
If f(α) = x cos α + y sin α - p(α), then the lines f(α) = 0 and f(β) = 0 are perpendicular to each other, if 1) α = β 2) α + β = π/2 3) |(α -... View Article
1) 182 sq.units 2) 91 sq.units 3) 48 sq.units 4) None of these Solution: Given equation of line is 3x + 2y = 24 ..(i) When x = 0, y = 24/2 =... View Article
1) y – 5 = 0 2) x – 5 = 0 3) y + 5 = 0 4) x + 5 = 0 Solution: Given A(1, 1), B(4, -2) and C(5, 5) are the vertices of a triangle. Slope of... View Article
1) a = √2b 2) a = -√2b 3) Both (a) and (b) 4) None of these Solution: In a triangle, the median is a line passing through a vertex and the... View Article
1) 2x + 3y = 12 2) 3x + 2y = 12 3) 4x – 3y = 6 4) 5x – 2y = 10 Solution: Let the line intercepts the x axis at A(a, 0) and y axis at B(0,... View Article
1) (13/5, 0) 2) (5/13, 0) 3) (-7, 0) 4) None of these Solution: Let the incident ray meets the x-axis at A(x, 0). From figure, slope of PA,... View Article