Straight Lines questions
982 published questions with worked solutions.
- If the slope of one of the lines represented by ax^2 + (2a + 1)xy + 2y^2 = 0 is reciprocal of the slope of the other, then the...
- The equation of a line, whose perpendicular distance from the origin is 7 units and the angle, which the perpendicular to the...
- If the distance between the parallel lines given by the equation x^2-4xy+py^2+3x+qy-4=0 is , then ^2=
- The distance of a point (2, 5) from the line 3x + y + 4 = 0 measured along the lines L_1 and L_2 are same. If slope of line L_1...
- The joint equation of pair of lines through the origin and making an angle of 6 with the line 3x + y - 6 = 0 is
- A line 4x + y = 1 passes through the point A(2, -7) meets the line BC whose equation is 3x – 4y + 1 = 0 at the point B. The...
- If an equation hxy+gx+fy+c=0 represents a pair of lines, then
- The joint equation of a pair of lines passing through the origin and making an angle of 4 with the line 3x + 2y - 8 = 0 is
- The number of integral values of p in the domain [-5,5], such that the equation 2x^2+4xy-py^2+4x+qy+1=0 represents pair of lines,...
- The points (1, 3), (5, 1) are opposite vertices of a diagonal of a rectangle. If the other two vertices lie on the line y = 2x +...
- If one of the lines represented by ax^2+2hxy+by^2=0 is perpendicular to mx+ny=18 then
- Let a line intersect the co-ordinate axes in points A and B such that the area of the triangle OAB is 12 sq. units. If the line...
- is formed by the lines x^2-4xy+y^2=0 and the line AB. The equation of line AB is 2x + 3y - 1 = 0. Then the equation of the median...
- A vector a has components 2p and 1 with respect to a rectangular Cartesian system. This system is rotated through a certain angle...
- The co-ordinate of the foot of the perpendicular from the point (1, 2) on the line x – 3y + 7 = 0 are
- The slopes of the lines, making angle of measures 45^ with the line 2x - 3y = 5 are
- If is an acute angle between the lines Kx^2 - 4xy + y^2 = 0 and = 1 2 , then value of K is
- If the slope of one of the lines given by x^2 a + 2xy h + y^2 b =0 is twice that of the other, then h^2:ab= ....
- If the distance between the lines represented by |x-2y|^2+k|x-2y|=0 is 3 units and k>0 then the equations of the lines are
- The equation of a line passing through the point of the intersection of the lines x - y + 1 = 0 and 2x + 3y - 8 = 0 and having x...
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