The graph of the function $y={{x}^{2}}+4$and the straight line PQ are drawn to solve the equation ${{x}^{2}}-3x+2=0$. What is the equation PQ

Find the value of $\alpha $if the line $2y-\alpha x+4=0$is perpendicular to the line $y+\tfrac{1}{4}x-7=0$

Find the coordinate of the midpoint of x and y intercept of the line $2y=4x-8$

Find the value of p if the line joining (p, 4) and (6, –2) is perpendicular to the line joining (2, p) and (–1, – 3)

A straight line makes an angle of 30^o with the positive x – axis and cut the y – axis at y =5. Find the equation of the straight line

if two graph $y=p{{x}^{2}}+q$ and $y=2{{x}^{2}}-1$intersect at x = 2. Find the value of p in terms of q

$3y=4x-1$and $ky=x+3$are equation of two straight lines. If the two lines are perpendicular to each other, find k