Equation of Line Worksheet1



In this page equation of line worksheet1 we are going to see some practice question. You can find solution for each questions with clear explanation.

Questions

Solution

(1) Find the slope of the straight line

(i) 3x + 4 y – 6 = 0

(ii) y = 7 x + 6

(iii) 4x = 5 y + 3

Solution

(2) Show that the straight lines x + 2 y + 1 = 0 and 3 x + 6 y + 2 = 0 are parallel.

Solution

(3) Show that the straight lines 3 x – 5 y + 7 = 0 and 15 x + 9 y + 4 = 0 are perpendicular

Solution

(4) If the straight lines y/2= x – p and x + 5 = 3 y are parallel, then find a

Solution

(5) Find the value of a if the straight lines 5 x – 2 y – 9 = 0 and ay + 2 x – 11 = 0 are perpendicular to each other.

Solution

(6) Find the value of p for which the straight lines 8 px + (2-3p) y + 1 = 0 and px + 8 y – 7 =0 are perpendicular to each other.

Solution

(7) If the straight line passing through the points (h,3) and (4,1) intersects the line 7 x – 9 y – 19 = 0 t a right angle, find the value of h.

Solution

(8) Find the equation of the straight line parallel to the line 3x – y + 7 =0 and passing through the point (1,-2)

Solution

(9) Find the equation of the straight line perpendicular to the straight line x – 2 y + 3 = 0 and passing through the point (1,-2).

Solution

(10) Find the equation of the perpendicular bisector of the straight line segment joining the points (3, 4) and (-1, 2).

Solution

(11) Find the equation of the straight line passing through point of intersection of the lines 2 x + y – 3 =0 and 5 x + y – 6 = 0 and parallel to the lie joining the points (1,2) and (2,1)

Solution

(12) Find the equation of the straight line passing through the point of intersection of the 5x – 6 y = 1 and 3x + 2y + 5 = 0 and is perpendicular to the straight line 3x – 5 y + 11 = 0.

Solution

(13) Find the equation of the straight line joining the point of intersection of the lines 3 x – y + 9 = 0 ad x + 2 y = 4 and the point of intersection of the lines 2 x + y – 4 = 0 and x – 2 y + 3 = 0.

Solution

(14) If the vertices of a triangle ABC are A (2,-4), B (3,3) and C (-1,5). Find the equation of the straight line along the altitude from vertex B.

Solution

(15) If the vertices of triangle ABC are (-4, 4) , B (8 ,4) and C (8,10). Find the equation of the straight line along the median from A.

Solution

(16) Find the coordinates of the foot from the origin on the straight line 3 x +2 y = 13.

Solution

(17) If x + 2 y = 7 and 2 x + y = 8 are the equations of the lines of two diameter of the circle, find the radius of the circle if the point (0,-2) lie on the circle.

Solution

(18) Find the equation of the straight line segment whose end points are the point of intersection of the straight lines 2 x – 3 y + 4  = 0, x – 2 y + 3 = 0 and the midpoint of the line joining the points (3 ,-2) and (-5 , 8).

Solution

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(19) If the isosceles triangle PQR, PQ = PR. The base QR lies on the axis, P lies on the y-axis and 2 x – 3 y + 9 =0 is the equation of PQ. Find the equation of PQ. Find the equation of the straight line along PR.




Solution