Find the equation of the line which satisfy the given conditions : Passing through the point (−4,3)with slope 21.
Find the area of the triangle formed by the line x+y=3 and the angle bisectors of the pair of lines x2−y2+4y−4=0
Draw a quadrilateral in the Cartesian plane, whose vertices are (4,5), (0,7), (5,5)and (4,2). Also, find its area.
Prove that the equation 2x2+5xy+3y2+6x+7y+4=0 represents a pair of straight lines. Find the coordinates of their point of intersection and also the angle between them.
If x2+2hxy+y2=0 represents the equation of the straight lines through the origin which make an angle α with the straight line y+x=0 (a)sec2α=h cosα (b)=(2h)(1+h) (c)2sinα =h(1+h) (d) cotα =(h−1)(1+h)
Find the equation of the line whose perpendicular distance from the origin is 4 units and the angle which the normal makes with positive direction of xaxis is 15o.