Let equation of a plane be x+2y+z−3=0. An insect starts flying from point P(1,3,2) in straight line. It touches the plane at point R(a,b,c) and then goes to point Q(3,5,2) in straight line. If the distance travelled PR+QR is minimum, then the value of (a+b+c) is

Let equation of a plane be x+2y+z−3=0. An insect starts flying from

1.	Let equation of a plane be x+2y+z−3=0. An insect starts flying from point P(1,3,2) in straight line. It touches the plane at point R(a,b,c) and then goes to point Q(3,5,2) in straight line. If the distance travelled PR+QR is minimum, then the value of (a+b+c) is
Answer» Let equation of a plane be $x + 2 y + z - 3 = 0$ . An insect starts flying from point $P (1, 3, 2)$ in straight line. It touches the plane at point $R (a, b, c)$ and then goes to point $Q (3, 5, 2)$ in straight line. If the distance travelled $P R + Q R$ is minimum, then the value of $(a + b + c)$ is