ICSE Class 10th Mathematics Chapter 14 - Equation of a line Important Questions with Answers

The line given by the equation `2x - y/3 = 7` passes through the point (k, 6); calculate the value of k.

For what value of k will the point (3, ?k) lie on the line 9x + 4y = 3?

The line `(3x)/5 - (2y)/3 + 1 = 0` contains the point (m, 2m – 1); calculate the value of m.

Does the line 3x ? 5y = 6 bisect the join of (5, ?2) and (?1, 2)?

The line y = 3x – 2 bisects the join of (a, 3) and (2, ?5), find the value of a.

The line x – 6y + 11 = 0 bisects the join of (8, ?1) and (0, k). Find the value of k.

The point (?3, 2) lies on the line ax + 3y + 6 = 0, calculate the value of a.

The line y = mx + 8 contains the point (?4, 4), calculate the value of m.

The point P divides the join of (2, 1) and (?3, 6) in the ratio 2 : 3. Does P lies on the line x ? 5y + 15 = 0?

The line segment joining the points (5, ?4) and (2, 2) is divided by the points Q in the ratio 1 : 2. Does the line x – 2y = 0 contain Q?