WebIf pairs of straight lines x 2 − 2 p x y − y 2 = 0 and x 2 − 2 q x y − y 2 = 0 be such that each pair bisects the angles between the other pair, prove that pq = -1. Q. If a pair of lines x … WebFind the joint equation of the pair of lines which bisect angles between the lines given by x2 + 3xy ... Find the joint equation of the pair of lines which bisect angles between the …
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WebUse calculus to find the area bounded by the circle x^2+y^2-2x-2y-23=0 and the pair of lines x^2+2xy+y^2-7x-7y+12=0. ... These are parallel lines. The equation of the circle is … WebCalculation: The given equation of the pair of lines is 6x 2 - 2xy - 2y 2 = 0. Comparing this with the general equation of a pair of lines ax 2 + 2hxy + by 2 = 0, we have: a = 6, 2h = … fox rock philanthropy
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WebFind the angle between the lines joining the origin to the points of intersection of the curve x 2 + 2xy + y 2 + 2x + 2y 5 = 0 and the line 3x y + 1 = 0. Sol. x 2 + 2xy + y 2 + 2x + 2y 5 = … WebStraight Line and Circle - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Time Limit : 6 Sitting Each of 75 Minutes duration approx. Select the correct alternative : (Only one is correct) Q.1 If the lines x + y + 1 = 0 ; 4x + 3y + 4 = 0 and x + y + = 0, where 2 + 2 = 2, are concurrent then (A) = 1, = – 1 (B) = 1, = ± 1 (C) = – 1, = ± 1 (D*) = ± 1, = 1 … Web24 sep. 2024 · Show that 3x^2 + 10xy + 8y^2 + 14x + 22y + 15 = 0 represents a pair of straight lines and the angle between them is tan^-1 (2/11). asked Sep 24, 2024 in Two … black white red shoes