Find derivative of:
In the triangle ABC with vertices A (2, 3), B (4, –1) and C (1, 2), find the equation and length of altitude from the vertex A.
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 angle between two lines is 4πand slope of one of the lines is 21, find the slope of the other line.
If one of the lines of the pair ax2+2hxy+by2=0 bisects the angle between the positive direction of the axes. Then find the relation for a,b,andh˙
Find the equation of the line through the intersection of 5x−3y=1and 2x−3y−23=0and perpendicular to the line 5x−3y−1=0.
Line through the points (2,6)and (4,8)is perpendicular to the line through the points (8,12)and (x,24). Find the value of x.
Find the equation of the line perpendicular to the line ax−by=1 and passing through a point at which it cuts the x-axis.