Find the values of k for which the line (k−3)x−(4−k2)y+k2−7k+6=0is(a) Parallel to the xaxis,(b) Parallel to the y axis,(c) Passing through the origin.
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.
Find the equation of the line which satisfy the given conditions : Passing through the point (−1,1)and (2,−4)
In Figure, time and distance graph of a linear motion is given. Two positions of time and distance are recorded as, when T = 0, D = 2 and when T = 3, D = 8. Using die concept of slope, find law of motion, i.e., how distance depends upon time.
If the lines joining the origin and the point of intersection of curves ax2+2hxy+by2+2gx+0 and a1x2+2h1xy+b1y2+2g1x=0 are mutually perpendicular, then prove that g(a1+b1)=g1(a+b)˙
If the coordinates of the vertices of triangle ABC are (−1,6),(−3,−9) and (5,−8) , respectively, then find the equation of the median through C˙