HARD
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Equation of pair of straight line drawn through (1,1) and perpendicular to the pair of lines  3 x 2 - 5 xy - 2 y 2 = 0  is :

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Important Questions on Straight Line

MEDIUM
The equation 3ax2-16xy-a2-10y2=0 represents
MEDIUM
If slopes of lines represented by Kx2+5xy+y2=0 differ by 1 then K=
HARD
Let the equation of the pair of lines, y=px and y=qx, can be written as y-pxy-qx=0. Then the equation of the pair of the angle bisectors of the lines x2-4xy-5y2=0 is:
MEDIUM
If the centroid of the triangle formed by the lines 2y2+5xy-3x2=0 and x+y=k is 118,1118, then the value of 'k' equals_____
HARD
The joint equation of a pair of lines passing through the point of intersection of lines 2x2-xy-15y2-7x+32y-9=0 and parallel to co-ordinate axes is
EASY
The equation of the pair of straight lines perpendicular to the pair 2x2+3xy+2y2+10x+5y=0 and passing though the origin is______
HARD
If the curve x2+2y2=2 intersects the line x+y=1 at two points P and Q, then the angle subtended by the line segment PQ at the origin is
MEDIUM
If the lines, joining the origin to the points of intersection of the curve 2x2-2xy+3y2+2x-y-1=0 and the line x+2 y=k, are at right angles, then k2 equals
MEDIUM
If lines represented by equation px2-qy2=0 are distinct then
HARD
If the pair of lines joining the origin and the points of intersection of the line ax+by=1 and the curve x2+y2-x-y-1=0 are at right angles, then the locus of the point (a,b) is a circle of radius
EASY
If 'm1' and 'm2', m1>m2 are the slopes of the lines represented by 5x2-8xy+3y2=0, then m1:m2 equals
MEDIUM
The ratio in which the line x+y-1=0 divides the line segment joining the origin and the point of intersection of the lines represented by 2x2-13xy-7y2+x+23y-6=0 is
EASY
If 9x2-24xy+16y2+αx+βy+6=0 represents a pair of parallel lines of 1 unit apart and one of those lines passes through (1, 1) then αβ=
EASY
The angle between the pair of straight lines 3y2-8xy-3x2-29x+3y-18=0 is
MEDIUM
The equation of bisectors of the angle between the lines represented by 3x2-5xy+4y2=0 is
MEDIUM
The acute angle between lines 6x2+11xy-10y2=0 is
MEDIUM
If the bisectors of the pair of lines x2-2mxy-y2=0 is represented by x2-2nxy-y2=0, then
MEDIUM
The angle between lines 3x+y=1 and x+3y=1 is
MEDIUM
If θ is the angle between the lines joining the origin to the points of intersection of the curve 2x2+3y2=6 and the line x+y=1, then sinθ=
HARD
A straight line passing through the point 1, 0 and not parallel to x-axis intersects the curve 2x2+5y2-7x=0 at two points A and B. The angle subtended by the line segment AB at the origin is