If the pair of straight lines x 2-2pxy-y 2 0
WebAnswer (1 of 3): Before directly finding angle, let's go for simple simplification first. On factorization of x^2 - y^2 into (x+y)(x-y)…you can take (x-y) common and the resultant equation will be (x-y)(x+y+1) and thus know you have the eq. Of those two straight in which you have to find the ang... WebIf the pair of straight lines x 2 - 2 pxy - y 2 = 0 and x 2 - 2qxy -y 2 =0 be such that each pair bisects the angle between the other pair, then [2003] a) pq = –1. b) p = q. c) p = –q. d) ... If the pairs of straigth lines x2 - 2pxy - y2 = 0 and x2 - 2qxy - y2 = 0 be such that each pair bisects the angle between the other pair, then.
If the pair of straight lines x 2-2pxy-y 2 0
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WebIf the pair of straight lines $${x^2} - 2pxy - {y^2} = 0$$ and $${x^2} - 2qxy - AIEEE 2003 Straight Lines and Pair of Straight Lines Mathematics JEE Main WebExplanation for correct option: We know that for a quadratic equation a x 2 + b x + c = 0 will have equal root if b 2 - 4 a c = 0. Hence option (A) 2 f g h = b g 2 + c h 2, is the correct …
Web2 aug. 2024 · Show that the pairs of lines 6x2 – 5xy – 6y2 = 0, 6x2 – 5xy – 6y2 + x + 5y – 1 = 0 form a square. LIVE Course for free. Rated by 1 million+ students Get app now ... Web26 sep. 2010 · If the pair of lines x^2-2pxy-y^2=0 and x^2-2qxy-y^2=0 are such that each pair bisects the angle between the other pair, then what is the value of pq? Homework Equations The Attempt at a Solution I don't understand what 'each pair bisects the angle between the other pair' mean.
WebTwo pairs of lines are such that each pair bisects the angle between other pair. Show that pq = -1. - YouTube The given pairs of lines are x^2 - 2pxy - y^2 = 0 and x^2 -... WebFind the joint equation of the straight lines passing through the origin O and the points of intersection of the line \(3x + 4y - 5 = 0\) and the curve \(2{x^2} + 3{y^2} = 5.\) Solution: …
Web9 jan. 2013 · Two pairs of lines are such that each pair bisects the angle between other pair. Show that pq = -1. - YouTube The given pairs of lines are x^2 - 2pxy - y^2 = 0 and x^2 -...
WebIf the pair of straight lines x 2 – 2kxy – y 2 = 0 bisect the angle between the pair of straight lines x 2 – 2lxy – y 2 = 0, Show that the later pair also bisects the angle … copd increased nutrient needsWeb22 feb. 2024 · Prove that the equation to the straight lines through the origin each of which makes an angle α with the straight lines y = x is {{x}^{2}}-2xy\sec 2\alpha +{{y}^{2}}=0.. Solution: The slope of the straight line y = x is 1=\tan \frac{\pi }{4}. So, the straight line makes an angle \frac{\pi }{4} with x-axis. Hence the required straight lines makes angle … famous drug addiction celebrityWebThe angle between the line pair will be 0° if h²=ab and it will be 90° if the sum of coefficient of x² and coefficient of y² is equal to 0. famous dr seuss booksWebThe two circles x^2 + y^2 = ax and x^2 + y^2 = c^2; If the pair of straight lines x^2 - 2pxy - y^2 = 0; Let O be the vertex and Q be any point on the parabola, x^2 = 8y; Let P be the point on the parabola, y^2 = 8x which is at a minimum distance copd in chinese languageWebIf the pair of straight lines x2 − 2pxy − y2 = 0 and x2 − 2qxy − y2 = 0 be such that each pair bisects the angle between the other pair, then 1203 86 Straight Lines Report Error A pq = - 1 B p = q C p = -q D pq = 1 Solution: Equation of bisectors of second pair of straight lines is, qx2 +2xy− qy2 = 0 ..... (1) It must be identical to the first pair copd increase oxygenWebIf the pairs of straight lines x 2−2pxy−y 2=0 and x 2−2qxy−y 2=0 be such that each pair bisects the angle between the other pair, prove that pq=−1. Medium View solution > One of the lines given by the equation ax 2+2hxy+by 2=0 will bisect the angle between the coordinate axes if This question has multiple correct options Medium View solution > cop died on jan 6thWebSolution The given pair of lines are x 2 – 4xy + y 2 = 0 Comparing with ax 2 + 2hxy + by 2 = 0, we get a = 1, h = –2, b = 1 tan θ = 2 h 2 - a b a + b = 2 4 - 1 1 + 1 = 2 3 2 tan θ = 3 or θ = 60 ∘ or π 3 Concept: Acute Angle Between the Lines Report Error Is there an error in this question or solution? 2016-2024 (July) famous drugs list