Question Bank
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The ratio in which the y-axis divides the line segment joining (2, -3) and (5, 6) is:
The equation of a line which makes equal intercepts on the axes and passes through (2, 3) is:
Find the slope of a line which is perpendicular to the line joining (0, 0) and (2, 2).
What is the length of the perpendicular from origin to the line 3x + 4y - 10 = 0?
Find the angle between the lines x + y = 5 and x - y = 3.
If (a, 0), (0, b), and (1, 1) are collinear, then 1/a + 1/b = ?
Find the coordinates of the circumcenter of a triangle with vertices (0,0), (8,0), and (0,6).
The distance between the lines 3x + 4y = 9 and 6x + 8y = 15 is:
Find the equation of a circle with center (2, -3) and radius 5.
If the line y = mx + c is a tangent to the circle x^2 + y^2 = a^2, then the condition is:
What is the area of a circle whose equation is x^2 + y^2 - 4x - 6y - 3 = 0?
Find the equation of the locus of a point which moves such that its distance from the y-axis is twice its distance from the x-axis.
The reflection of the point (3, 4) in the line y = x is:
Find the image of point (1, 2) when reflected across the x-axis.
What is the gradient of a line making an angle of 135 degrees with the x-axis?
The equation of the line passing through (2, 3) and (2, -5) is:
Find the length of the tangent from (5, 4) to the circle x^2 + y^2 = 9.
The coordinates of the point dividing the segment (1, 3) and (2, 7) in the ratio 3:4 externally are:
If the lines 2x + y - 3 = 0 and kx + 2y - 1 = 0 are parallel, find k.
The equation of the normal to the circle x^2 + y^2 = 25 at (3, 4) is: