The equation of the a straight lines bisecting the angles between the two straight lines ax2 + 2hxy + by2 = 0 is given by
The polar equation of a straight line is given by ... where p is the length of the perpendicular from the origin on the line
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The polar equation of a line through two given points (r1, θ1) and (r2, θ2) is given by
If parallelograms are described on the sides of a given triangle treating them as diagonals of t he respective parallelograms having their sides parallel to two given straight lines, then the other diagonals of these parallelograms
If the equations of a pair of opposite sides of a parallelogram are given by x2 - 7x + 6 = 0 and y2 -14y + 40 = 0, then the equation to one of it s diagonals is given by
The equation ax2 + by2 + c(x + y) = 0 represents a pair of straight lines if
The equation of the straight line which passes through the point (x' ,y') and is perpendicular to the straight line yy' = 2a[x + x']is given by
The equation of the straight line passing through (x', y') and perpendicular to the straight line
The equations of straight lines passing through (x',y') and making an angle a with the given straight line y = mx + c, are given by
The equation of one of the straight lines passing through the point (h, k) and making an angle tan-1 m with the. straight line y = mx + c is given ty
The distance of the plane 6x -3y + 2z - 14 = 0 from the origin is
In the equation of the plane given by ax + by + cz + d = 0: a. b, c denote the
The angle between the two planes is same as the angle between
The angle between the two planes ax + by + cz + d = 0 and a'x + b'y + c'z - a' = 0 is given by
The two planes ax + by +by + cz + d = 0 and a'x + b'y + c'z + d = 0 are perpendicular if
The planes 2x - y + z = 15 and x + y + 2x = 3 are inclined at an angle of
Which one of the following is incorrect? The condition that the four points (x1, y1, z1), (x2, y2, z2), (x3, y3, z3) and (x4, y4, z4) are coplanar is
Which of the following statements is incorrect? two points P(x1 , y1, z1) and Q(x2, y2, z2) lie on the same side of the plane ax - by + cz - d 0 if
The two points (1, 1, 1) and (-3, 0, 1) from the plane 3x +4y - 12z + 13=0 are
If D > 0, then the length of the perpendicular from the origin on the plane Ax + By + Cz + D = 0 is
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