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
1) On the same side of the line 2) On different side of the line 3) One point on the line and the other outside the line 4) Both points... View Article
1) (0, π/2) 2) (0, π) 3) (π/4, π/2) 4) (0, π/4) Solution: Let L be the line given by x + y - 1 = 0 (3, 2) lies in line L. L1 => 3 + 2 - 1... View Article
1) √(3/2) 2) √2 3) √(2/3) 4) None of these Solution: Let C(2, -1) be the vertex of the equilateral triangle. Given the base of the... View Article