Straight Lines questions
982 published questions with worked solutions.
- The angle between the lines 2x = 3y = -z and 6x = -y = -4z is
- A straight line through the point A(3, 4) is such that its intercept between the axes is bisected at A. Its equation is
- If (a, a^2) falls inside the angle made by the lines y = x 2 , x > 0 and y = 3x, x > 0, then a belongs to
- Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the...
- Let P = (-1, 0), Q = (0, 0) and R = (3, 3 3) be three points. The equation of the bisector of the angle PQR
- If one of the lines of my^2 + (1 - m^2)xy - mx^2 = 0 is a bisector of the angle between the lines xy = 0, then m is
- The vector a = i + 2 j + k lies in the plane of the vectors b = i + j and c = j + k and bisects the angle between b and c. Then...
- The lines p(p^2 + 1)x - y + q = 0 and (p^2 + 1)^2x + (p^2 + 1)y + 2q = 0 are perpendicular to a common line for
- Three distinct points A, B and C are given in the 2 - dimensional coordinate plane such that the ratio of the distance of any one...
- The line L given by x5 + yb = 1 passes through the point (13, 32). The line K is parallel to L and has the equation xc + y3 = 1....
- The lines L_1 : y - x = 0 and L_2 : 2x + y = 0 intersect the line L_3 : y + 2 = 0 at P and Q respectively. The bisector of the...
- The diagonals of a parallelogram ABCD are along the lines x+3y=4 and 6x-2y=7. Then ABCD must be a
- If the equation 7x^2-14xy+py^2-12x+qy-4=0 represents a pair of parallel lines then the value of p^2+q^2-pq is
- The slopes of the line given by x^2+2hxy+2y^2=0 are in the ratio 1:2, then h is
- The equation of the line passing through the point of intersection of the lines 3x - y = 5 and x + 3y = 1 and making equal...
- The number of possible distinct straight lines passing through (2,3) and forming a triangle with co-ordinate axes whose area is...
- If O (0,0), A (1,2) and B (3,4) are the vertices of triangle OAB, then the joint equation of the altitude and median drawn from O...
- The incenter of the triangle ABC, whose vertices are A (0,2,1) B (-2,0,0) and C (-2,0,2) is
- The combined equation of two lines through the origin and making an angle of 45^ with the line 3x + y = 0 is
- The acute angle between the lines x 30^ + y 30^ = 3 and x 60^ + y 60^ = 5 is
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