1) Straight line 2) Circle 3) Pair of straight lines 4) Parabola Solution: Let the point P(h, k) divides the line joining A(1, 0) and B(2... View Article
1) √2 2) 1 3) √3 4) 2 Solution: Given equation is |x| + |y| = 1 The diagram of the given equation is given below. We have two triangles... View Article
1) (1, –1) 2) (1, 1) 3) (2, 1) 4) (2, 2) Solution: Let the variable line be ax + by + c = 0 …(i) We know that the perpendicular distance... View Article
1) 2 2) 0 3) 4 4) 1 Solution: Given 3x + 4y = 9 …(i) y = mx + 1 …(ii) By solving (i) and (ii) we get the point of intersection of the two... View Article
1) 1 : 2 2) 2 : 1 3) 2 : 3 4) 3 : 4 Solution: Let the line y - x + 2 = 0 divide the line joining the points A(3, -1) and B(8, 9) in the... View Article
1) AP 2) GP 3) HP 4) None of these Solution: We know that the perpendicular distance of a line ax + by + c = 0 from the point (x1, y1) is... View Article
1) 6 2) 7 3) 5 4) 8 Solution: Given line is 4x + 3y + 20 = 0 The point is (3,1). We know that the perpendicular distance to a line ax + by +... View Article
1) k 2) 2k 3) k2 4) 2k2 Solution: Given x sec α + y cosec α = k…(i) The distance of the above line from the origin (0, 0) is given by p =... View Article
1) x + y + 2 = 0 2) x + y = 0 3) x + y = 2 4) None of these Solution: Consider the x-axis and y-axis as the two perpendicular lines. Let... View Article
1) sin 2α 2) cos 2α 3) 2 sin 2α 4) 2 cos 2α Solution: Given x sin α + y cos α = sin 2α Divide both sides by sin 2α x/2 cos α + y/2 sin α = 1... View Article