1) (3a, –2b) 2) (a2, ab) 3) (–3a, 2b) 4) (a, b) Solution: Let A(a, 0) and B(0, b) be the points. Slope of AB, m = -b/a Equation of line is y... View Article
1) x + 2y = 5 2) x – y + 1 = 0 3) x + y – 3 = 0 4) 2x + y – 4 = 0 Solution: Let the line touches the x axis at A(a, 0) and y axis at (0, b).... View Article
1) 2x + y + 5 = 0 2) x + 2y + 3 = 0 3) x + y + 5 = 0 4) x + y + 3 = 0 Solution: Given line makes an angle of 1350 with x axis. So slope =... View Article
1) p = c√(1 + m2) 2) c = p√(1 + m2) 3) cp = √(1 + m2) 4) p2 + c2 + m2 = 1 Solution: y = mx + c => mx - y + c = 0 ..(i) x cos α + y sin α... View Article
1) x sin θ + y cos θ – 2a = 0 2) x cos θ + y sin θ – 2a = 0 3) x sec θ + y cosec θ – 2a = 0 4) x cosec θ + y sec θ – 2a = 0 Solution:... View Article
1) x cos θ – y sin θ = a cos 2θ 2) x cos θ + y sin θ = a cos 2θ 3) x sin θ + y cos θ = a cos 2θ 4) None of the above Solution: Given line is... View Article
1) x√3 + y + 8 = 0 2) x√3 + y = 8 3) x√3 - y = 8 4) x - √3y + 8 = 0 Solution: Let line AB makes 1200 with x axis. ∠MAO = 180 - 120 =... View Article
1) √3 2) -√3 3) 1/√3 4) none of these Solution: Given that the line makes angle 300 with positive direction of y axis. So the angle made by... View Article
1) x/x1 + y/y1 = 2 2) x/x1 + y/y1 = 1/2 3) x/x1 + y/y1 = 1 4) None of these Solution: Given midpoint of line in between the axes is (x1,... View Article
1) 2x + y = 4 2) 2x + y + 4 = 0 3) 2x – y = 4 4) 2x – y + 4 = 0 Solution: Let a be the x-intercept and b be the y-intercept. Given b = 2a... View Article
1) 2x + y – 8 = 0 2) 2x – y – 4 = 0 3) 2x – y + 4 = 0 4) 2x + y + 7 = 0 Solution: We know that the diagonals of a rectangle bisect each... View Article