SAY YES ACADEMY PERUMBILLISSERY, CHERPU AND THRIPRAYAR
MATHEMATICS
ADDITIONAL QUESTIONS
PLUS ONE SCIENCE STATE 2026
Chapter 9 STRAIGHT LINES
1. For what value of x are the points (1,5 ) , ( x,1) and ( 4,11) collinear?
2. If two vertices of a parallelogram are ( 3, 2 ) , ( −1,0 ) and its diagonals meet at ( 2, −5 ) , find the other
two vertices of the parallelogram.
3. Find the third vertex of a triangle if its two vertices are ( −1, 4 ) and ( 5, 2 ) and mid-point of one
side is ( 0,3) .
4. Find the slope of a line which makes an angle of 120 with the negative direction of y-axis measured
anticlockwise direction.
5. If the perpendicular bisector of the line segment joining the points P (1, 4 ) and Q ( k,3) has y-
intercept - 4, then find the value of ‘k’.
6. Find the equation of the line which is equidistant from the parallel line 3x + 2y + 6 = 0 and
9x + 6y − 7 = 0 .
7. If the equation of the base of an equilateral triangle is x + y − 6 = 0 and the opposite vertex is the
point ( −1, −1) , then find the area of the triangle.
8. A ray of light is sent along the line 𝑥 − 2𝑦 − 3 = 0 . Upon reaching the line 3𝑥 − 2𝑦 − 5 = 0 ,
the ray is reflected from it. Find the equation of line containing the reflected ray.
9. If the lines p ( p 2 + 1) x − y + q = 0 and ( p2 + 1) x + ( p 2 + 1) y + 2q = 0 are perpendicular to the same
2
line, then find the value of ‘p’.
10. Find the equation of straight line parallel to 2x + 3y = 10 and which is such that the sum of its
intercepts on the axes is 15.
MATHEMATICS
ADDITIONAL QUESTIONS
PLUS ONE SCIENCE STATE 2026
Chapter 9 STRAIGHT LINES
1. For what value of x are the points (1,5 ) , ( x,1) and ( 4,11) collinear?
2. If two vertices of a parallelogram are ( 3, 2 ) , ( −1,0 ) and its diagonals meet at ( 2, −5 ) , find the other
two vertices of the parallelogram.
3. Find the third vertex of a triangle if its two vertices are ( −1, 4 ) and ( 5, 2 ) and mid-point of one
side is ( 0,3) .
4. Find the slope of a line which makes an angle of 120 with the negative direction of y-axis measured
anticlockwise direction.
5. If the perpendicular bisector of the line segment joining the points P (1, 4 ) and Q ( k,3) has y-
intercept - 4, then find the value of ‘k’.
6. Find the equation of the line which is equidistant from the parallel line 3x + 2y + 6 = 0 and
9x + 6y − 7 = 0 .
7. If the equation of the base of an equilateral triangle is x + y − 6 = 0 and the opposite vertex is the
point ( −1, −1) , then find the area of the triangle.
8. A ray of light is sent along the line 𝑥 − 2𝑦 − 3 = 0 . Upon reaching the line 3𝑥 − 2𝑦 − 5 = 0 ,
the ray is reflected from it. Find the equation of line containing the reflected ray.
9. If the lines p ( p 2 + 1) x − y + q = 0 and ( p2 + 1) x + ( p 2 + 1) y + 2q = 0 are perpendicular to the same
2
line, then find the value of ‘p’.
10. Find the equation of straight line parallel to 2x + 3y = 10 and which is such that the sum of its
intercepts on the axes is 15.
