Straight Lines questions
982 published questions with worked solutions.
- ABC is an isosceles triangle whose vertices A and C have the coordinates (1, 1) and (2, -1) respectively, and AC is one of the...
- A circle is given by x^2+(y-1)^2=1. Then the locus of the centre of the circle touching the given circle and the x-axis, is
- The angle between the lines 2x=3y=-z and 6x=-y=-4z is
- If the pair of lines ax^2+2(a+b)xy+by^2=0 lie along two diameters of the circle x^2+y^2=4 such that the circle is divided into...
- If the vertices of a triangle are such that the coordinates of the orthocentre as well as the circumcentre are integers then the...
- A vertical wall running from south to north has the height a. A policeman of height b ,(> a) is standing in front of the wall at...
- The incentre of the triangle with vertices (1, 3), (0, 0) and (2, 0) is
- Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) and R(7, 3). The equation of the line passing through (1,...
- The locus of the midpoint of the line segment joining the focus to a moving point on the parabola y^2 = 4ax is another parabola...
- 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 acute...
- Let a, b be non-zero real numbers. The equation (ax^2 + by^2 + c)(x^2 - 5xy + 6y^2) = 0 represents
- Consider the lines given by L_1 : x + 3y - 5 = 0, L_2 : 3x - ky - 1 = 0, L_3 : 5x + 2y - 12 = 0 Column I: (A) L_1, L_2, L_3 are...
- Locus of the image of the point (2, 3) in the line (2x - 3y + 4) + k(x - 2y + 3) = 0, k∈R, is a
- Let L be the line passing through the point P(1,2) such that its intercepted segment between the co-ordinate axes is bisected at...
- The points (0, 83 ), (1,3) and (82,30)
- If the incentre of an equilateral triangle is (1,1) and the equation of its one side is 3x+4y+3 = 0, then the equation of the...
- Two sides of a rhombus are along the lines, x-y+1 = 0 and 7x-y-5 = 0. If its diagonals intersect at (-1,-2), then which one of...
- If a variable line drawn through the intersection of the lines x3+ y4 = 1 and x4+ y3 = 1, meets the coordinate axes at A and B,...
- The point (2,1) is translated parallel to the line L : x-y = 4 by 2 3 units. If the new point Q lies in the third quadrant, then...
- A ray of light is incident along a line which meets another line 7x-y+1 = 0 at the point (0,1). The ray is then reflected from...
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