Straight Lines questions
982 published questions with worked solutions.
- If the equation x^2 - ky^2 - 4x + 6y - 5 = 0 represents a pair of straight lines then their point of intersection is
- If the vertices of a triangle are (-2,3), (6,-1) and (4,3), then the co-ordinates of the circumcenter of the triangle are
- The joint equation of the pair of lines passing through the point (3,-2) and perpendicular to the lines 5x^2+2xy-3y^2=0, is
- The joint equation of pair of lines through the origin, each of which makes an angle of 30^ with Y-axis, is
- If the slope of one of the lines given by Kx^ 2 +6xy+y^ 2 =0 is three times the other, then the value of K is
- Let P (-5, 0), Q (0, 0) and R (2, ,2 3) be three points. Then the equation of the bisector of the angle PQR is
- The joint equation of pair of lines through the origin and making an equilateral triangle with the line y=5 is
- The equations of the lines passing through the point (3,2) and making an acute angle of 45^ with the line x-2y-3=0 are
- The polar co-ordinates of the point, whose Cartesian co-ordinates (-2 3 ,2), are
- The Centroid of the triangle formed by the lines 6x^ 2 +xy-y^ 2 =0 and x+3y-10=0 is
- If the pair of lines given by (x + y )^2 = (x^2 + y^2) ^2 are perpendicular to each other, then is
- If k_i are possible values of k for which lines kx + 2y + 2 = 0, 2x + ky + 3 = 0 and 3x + 3y + k = 0 are concurrent, then k_i has...
- If the lines 1-x 3 = 7y-14 2p = z-3 2 and 7-7x 3p = y-5 1 = 6-z 5 are at right angles, then p =
- Let PQR be a right angled isosceles triangle, right angled at P(2, 1). If the equation of the line QR is 2x + y = 3, then the...
- The equation of the straight line passing through the point (-5, 3) such that the portion of the line intercepted between the...
- The pair of straight lines represented by the equation 3x^2-4xy+ 3y^2=0 are
- If the equation kx^2-5xy+6y^2+x-3y=0 represents a pair of straight lines, then the co-ordinates of their point of intersection are
- The joint equation of the pair of lines through the origin and making an angle of 4 with the line 3x + y - 6 = 0 is
- The area of the triangle formed by the co-ordinate axes and a line px + qy = r (where p, q and r are positive real numbers) is 1...
- PS is the median of the triangle with vertices at P(2, 2), Q(6, -1) and R(7, 3), then the intercepts on the co-ordinate axes of...
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