1) √2 + 2 : √3 2) 3 : 2 3) √3 + 2 : √2 4) 2 +√3 : √3 Solution: Given the angles of a triangle are in the ratio 1 : 1 : 4. Let A, B, C be the... View Article
1) sin2 B 2) cos2 A 3) cos2 B 4) sin2 A Solution: In ∆ABC, (a + b + c) = 2s (a + b + c)(b + c - a)(c + a - b)(a + b - c)/4b2c2 = 2s(2s - 2a)... View Article
1) 0 2) 1 3) 3 4) 2 Solution: By sine rule a/sin A = b/sin B = c/sin C = k a = k sin A, b = k sin B, c = k sin C a3 = k3 sin3 A = k3 sin3 [Ï€... View Article
1) –1 2) 3 3) –3 4) 1 Solution: Given f(x) = x2 + bx - b Slope, m = dy/dx = 2x + b At (1,1) m = 2 + b The equation of the tangent at (1,1)... View Article
1) 5a2 2) 5a2/2 3) 25a2/2 4) None of these Solution: Let A = (2a, 0) and B = (0, a). Let the third point on line x = 2a be C(2a, t). BC... View Article
1) (-1, -14) 2) (3,4) 3) (1,2) 4) (–4, 13) Solution: Given line is 5x + y + 6 = 0 Let the reflection of (4, -13) be (h, k). Then (h - x1)/a... View Article
1) (–1, –5) 2) (1,3) 3) (3,1) 4) (5,1) Solution: Line is y - 2x = 0 Let the image of (-1, 3) be (h, k). Then (h - x1)/a = (k - y1)/b =... View Article
1) (2, -1) 2) (-2, 1) 3) (1, 1) 4) (1, 2) Solution: Let (a, b) be the foot of the perpendicular upon the line x + y = 2. Since (a,b) lies... View Article
1) (–1, –1) 2) (2, 2) 3) (–2, –2) 4) None of these Solution: Let ABC be the equilateral triangle. Given centroid is at origin (0,0). Let... View Article
1) (4,3) 2) (¼, ⅓) 3) (½, ⅓) 4) None of these Solution: 4ax + 3by + c = 0 …(i) a + b + c = 0…(ii) => c = -(a + b) Put c in (i) => 4ax... View Article
1) l = m + n 2) m = l + n 3) n = l + m 4) l + m + n = 0 Solution: Given lx + my + n = 0, mx + ny + l = 0, nx + ly + m = 0 are concurrent. So... View Article
1) All a 2) a = 4 only 3) –1≤ a ≤ 3 4) a > 0 only Solution: If 2x + y - 1 = 0, ax + 3y - 3 = 0 and 3x + 2y - 2 = 0 are concurrent, Then... View Article
1) Only one solution 2) No solution 3) Infinite solution 4) None of the above Solution: x + y = 10 …(i) 2x + y = 18 …(ii) 4x - 3y = 26... View Article
1) 4 2) 2 3) 3 4) 1 Solution: Since the coordinate axes meet at right angles, the lines that are equally inclined will be making 450 and... View Article
