Coordinate and Straight Line Test Online MCQs

1. A line passing through P(4, 2) has intercepts (a, 0) and (0, b) respectively. If O is the origin, then locus of centre of circumcircle of a Δ formed by the line and the axis is:

2. Locus of centroid of the triangle whose vertices are (a cos t, a sin t), (b sin t, - b cos t) and (1, 0), where t is a parameter, is

3. The equation of base of an equilateral triangle is x + y = 2 and vertex is (2, -1), then the length of the side triangle is equal to:

4. The reflection of (4, 13) in the line 5x + y + 6 = 0 is

5. A straight line through the origin O meets the parallel line 4x + 2y = 9 and 2x + y + 6 = 0 at points P and Q respectively. Then, the point O divides the segment PQ in the ratio:

6. Equations of the bisectors of the lines 3x - 4y + 7 = 0 and 12x + 5y - 2 = 0 are given by:

7. Let P (-1, 0), Q(0, 0) and R(3, 3√3) be three points. Then, the equation of the bisector of the angle PQR is:

8. The orthocentre of the triangle formed by the lines x + y = 1, 2x + 3y = 6 and 4x - y + 4 = 0 lies in:

9. The points (a, b), (c, d), (a, d) and (c, b) taken in order and a, b, c, d, ∈ R are