1) -r2/2 2) -r/2 3) r/2 4) r2/2 Solution: Given a, b, c form a G.P. with a common ratio r. So b = ar, c = ar2 Equation of line is ax + by +... View Article
1) 95/6 2) 285/2 3) 190/3 4) 285 Solution: We know the centroid of a triangle is {(x1+x2+x3)/3, (y1+y2+y3)/3} Here centroid is (0, 0) and... View Article
1) a, b, c are in A.P 2) a, b, c are in G.P 3) a, b, c are in H.P. 4) none of these Solution: Given points are P(a, b+c), Q (b, c+ a) and R... View Article
1) 1/2 2) 1 3) √3 4) 0 Solution: The line which does not intersect the x-axis will be a line parallel to the x-axis. We know that the slope... View Article
1) 4 2) -4 3) 2 4) –2 Solution: We know that the diagonals of a rectangle bisect each other. So the midpoint of (1, 3) and (5, 1) will satisfy y... View Article
1) Do not intersect 2) Intersect 3) Are concurrent 4) None of these Solution: Given a + b + c = 0 Equation of lines are ax + (b + c)y = p... View Article
1) 3x – 2y = 0 2) 2x – 3y = 0 3) 3x + 2y = 0 4) None of these Solution: Here x = 0 and y = 0 are the y-axis and x-axis respectively. These... View Article
1) x + 2y - a = 0 2) x + 2y = 2a 3) 3x + 4y - 4a = 0 4) 3x - 4y + 4a = 0 Solution: Let P(2a, h) be the third vertex of the triangle. Let... View Article
1) 3x – y – 1 = 0 2) 3y – x – 1 = 0 3) 3x + y + 1 = 0 4) None of these Solution: Let the opposite vertices of a square are A(1, 2)... View Article