Straight Lines questions
982 published questions with worked solutions.
- If a circle of radius R passes through the origin O and intersects the coordinate axes at A and B, then the locus of the foot of...
- If a straight line passing through the point P(−3, 4) is such that its intercepted portion between the coordinate axes is...
- If a variable line, 3x + 4y − λ = 0 is such that the two circles x^2 + y^2 - 2x - 2y + 1 = 0 and x^2 + y^2 - 18x - 2y + 78 = 0...
- If the straight line, 2x − 3y + 17 = 0 is perpendicular to the line passing through the points (7, 17) and (15, β), then β equals:
- Let 3 i + j, i + 3 j and i + (1 - ) j respectively be the position vectors of the points A, B and C with respect to the origin O....
- If in a parallelogram ABDC, the coordinates of A, B and C are respectively (1, 2), (3, 4) and (2, 5), then the equation of the...
- Two vertices of a triangle are (0, 2) and (4, 3). If its orthocenter is at the origin, then its third vertex lies in which...
- A point P moves on the line 2x − 3y + 4 = 0. If Q(1, 4) and R(3, −2) are fixed points, then the locus of the centroid of ΔPQR is...
- If the line 3x + 4y − 24 = 0 intersects the x-axis at the point A and the y-axis at the point B, then the incentre of the...
- A triangle has a vertex at (1, 2) and the mid points of the two sides through it are (−1, 1) and (2, 3). Then the centroid of...
- A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular...
- The locus of the mid-points of the perpendiculars drawn from points on the line, x = 2y to the line x = y is:
- Let C be the centroid of the triangle with vertices (3, −1), (1, 3) and (2, 4). Let P be the point of intersection of the lines x...
- If a has vertices A(–1, 7), B(–7,1) and C(5, –5), then its orthocentre has coordinates -
- If 1 1 + 2 + 1 2 + 3 + + 1 99 + 100 = m and 1 1 2 + 1 2 3 + + 1 99 100 = n, then the point (m, n) lies on the line
- Let A(−1, 1) and B(2, 3) be two points and P be a variable point above the line AB such that the area of ΔPAB is 10. If the locus...
- Let A(1, 0), B(6, 2) and C ( 3 2 ,6 ) be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the...
- The locus of a point which divides the line segment joining the point (0, –1) and a point on the parabola, x^2=4y, internally in...
- Let two points be A(1, –1) and B(0, 2). If a point P(x', y') be such that the area of = 5 sq. units and it lies on the line,...
- The set of all possible values of in the interval (0, ) for which the points (1, 2) and ( , ) lie on the same side of the line x...
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