If A, B, C are three non- collinear points with position vectors respectively, then show that the length of the perpendicular from C on AB is
Draw a rough sketch of the curve and find the area of the region bounded by curve y2 = 8x and the line x =2.
Sketch the graph of y = |x + 4|. Using integration, find the area of the region bounded by the curve y = |x + 4| and x = – 6 and x = 0.
Find the equation of the plane through the intersection of the planes
Equation of I plane is
i.e.,
x + 3y - z = 9
x + 3y - z - 9 = 0 ...(i)
Equation of II plane is
i.e., 2x - y + z = 3
2x - y + z - 3 = 0 ...(ii)
Now, equation of a plane passing through intersection of given planes is,
(x + 3y - z - 9) + (2x - y + z - 3) = 0
Since plane is passing through the origin (0, 0, 0)