Find the general term of the series
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P (a, b) is the midpoint of a line segment between axes. Show that equation of the line is ax+by=2.
Find perpendicular distance from the origin of the line joining the points (cosθ,sinθ)and (cosφ,sinφ).
Find the slope of a line, which passes through the origin, and the midpoint of the line segment joining the points P(0,4)and B(8,0).
Find the transformed equation of the straight line 2x3y+5=0, when the origin is shifted to the point (3,−1) after translation of axes.
The hypotenuse of a right angled triangle has its ends at the points (1,3)and (4,1). Find the equation of the legs (perpendicular sides) of the triangle.
If the equation 2x2+kxy+2y2=0
represents a pair of real and distinct lines, then find the values of k˙
If the sum of the slopes of the lines given by x2−2cxy−7y2=0
is four times their product, then the value of c
Find equation of the line parallel to the line 3x−4y+2=0and passing through the point (2,3).