The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is

The slope of the line joining (12, 3), (4, a) is \(\frac 18\). The value of ‘a’ is

If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is

A straight line has equation 8y = 4x + 21. Which of the following is true

(2, 1) is the point of intersection of two lines.

Find the area of the triangle whose vertices are (-3, 5) , (5, 6) and (5, - 2)

If the area of the triangle formed by the vertices A(-1, 2), B(k, -2) and C(7, 4) (taken in order) is 22 sq. units, find the value of k.

Find the area of the quadrilateral formed by the points (8, 6), (5, 11), (-5, 12) and (-4, 3).

Calculate the slope and y intercept of the straight line 8x − 7y + 6 = 0

Find the equation of a line which passes through (5, 7) and makes intercepts on the axes equal in magnitude but opposite in sign.

A line makes positive intercepts on coordinate axes whose sum is 7 and it passes through (-3,8). Find its equation

Find the equation of a straight line whose Inclination is 45⁰ and y intercept is 11

The line p passes through the points (3, - 2), (12, 4) and the line q passes through the points (6, -2) and (12, 2). Is parallel to q ?

Find the slope of the straight line 6x + 8y + 7 = 0.

Find the equation of a straight line perpendicular to the line \(y=\frac { 4 }{ 3 } x-7\) and passing through the point (7,  –1).

In each of the following, Find the value of ‘a’ for which the given points are collinear. (2, 3), (4, a) and (6, –3)

The area of a triangle is 5 sq.units. Two of its vertices are (2,1) and (3, –2). The third vertex is (x, y) where y = x + 3. Find the coordinates of the third vertex.