1) Two parallel straight lines 2) Two perpendicular straight lines 3) Two lines passing through the origin 4) None of these Solution: Given... View Article
1) ab = –1 2) a = –b 3) a = b 4) ab = 1 Solution: We know that the angle between the two lines given by ax2 + 2hxy + by2 = 0 is tan θ =... View Article
1) 300 2) 450 3) 600 4) 900 Solution: Given λx2 + (1 - λ)2 xy - λy2 = 0 …(i) We know that the angle between the two lines given by ax2 +... View Article
1) 0 2) 1 3) 2 4) tan A Solution: Given y2 + kxy - x2 tan2 A = 0 ..(i) We know that the angle between the two lines given by ax2 + 2hxy +... View Article
1) θ1 = θ2 2) θ1 = 2θ2 3) 2θ1 = θ2 4) none of these Solution: We know that the angle between the two lines given by ax2 + 2hxy + by2 = 0... View Article
1) a = 1, b = 6 2) a = 1, b = -6 3) a = 6, b = 1 4) None of these Solution: Given equation is ax2 + xy + by2 = 0 Comparing this equation... View Article
1) θ 2) 2θ 3) θ/2 4) None of these Solution: Given x2 + 2xy sec θ + y2 = 0 Comparing this equation with the general equation ax2 + 2hxy +... View Article
1) h2 = ab 2) h = a + b 3) 8h2 = 9ab 4) 9h2 = 8ab Solution: Let m1 and m2 be the slopes of the lines given by ax2 + 2hxy + by2 = 0 We know... View Article
1) –6 2) –2 3) –4 4) 4 Solution: Let m1 and m2 be the slopes of the lines given by 4x2 + 2hxy - 7y2 = 0 Comparing with general equation ax2... View Article
1) 1/3 2) 3/4 3) 4/3 4) 1 Solution: Let m1 and m2 be the slopes of the lines given by ax2 + 2hxy + by2 = 0 We know m1 + m2 = -2h/b m1m2 =... View Article