M0IITU08 - Pair of st lines qns

M0IITU08 - Pair of st lines qns - Pair Of Straight Lines 1...

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1 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 1. Distance between the lines represented by the equation, x 2 + 2 3 xy + 3y 2 - 3x - 3 3 y - 4 = 0 is : (A) 5 2 (B) 5 4 (C) 5 (D) 0 2. The values of h for which the equation 2 + 2 hxy - 2 - 40x + 30y - 75 = 0 represents a pair of straight lines, are 4, 4 4, 6 4, - 4 0, 4 3. If pairs of straight lines, x 2 - 2 mxy - y 2 = 0 & x 2 - 2 nxy - y 2 = 0 be such that each pair bisects the angle between the other pair, then mn is equal to : 1 - 1 0 - 1 2 4. The nature of straight lines 4x 2 + 12 xy + 9 y 2 = 0 Real and coincident Real and different Imaginary and different None of the above 5. The equation to the pair of straight lines through the origin which are perpendicular to the lines, 2x 2 - 5 xy + y 2 = 0, is : 2 + 5 2 = 0 x 2 y 2 xy = 0 x 2 xy + 2 y 2 2 x 2 + y 2 6. Acute angle between the lines represented by, (x 2 + y 2 ) 3 = 4 xy is π 6 π 4 π 3 None of these 7. The equation of the pair of straight lines, each of which makes an angle α with the line y = x, is : x 2 + 2 xy sec 2 α + y 2 = 0 x 2 + 2 xy cosec 2 α + y 2 x 2 - 2 α 2 x 2 α 2 8. The equation, xy + a 2 = a (x + y) represents : A parabola
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M0IITU08 - Pair of st lines qns - Pair Of Straight Lines 1...

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