Home
Class 12
MATHS
Let P (alpha, beta, gamma) and Q(1,-1,0)...

Let `P (alpha, beta, gamma) and Q(1,-1,0)` be points such that the mid-point of PQ is `R (x,y,z).` If x is the AM of `alpha and beta, y` is the G.M. of `beta and gamma and z` is the H.M . Of `gamma and alpha ` then :

Text Solution

Verified by Experts

The correct Answer is:
`A to 1, B to3, C to 2`
Promotional Banner

Similar Questions

Explore conceptually related problems

Let (alpha,beta,gamma) be the mirror image of the point (2,3,5) in the line (x-1)/(2)=(y-2)/(3)=(z-3)/(4) .Then, 2 alpha+3 beta+4 gamma is equal to

Let (alpha, beta, gamma) be the foot of perpendicular from the point (1, 2, 3,) on the line frac{x 3}{5} = frac{y - 1}{2} = frac{z 4}{3} then 19 (alpha beta gamma)

If the image of the point ( 1,-2,3) in the plane 2x + 3y -z =7 is the point ( alpha, beta , gamma ), then the value of alpha + beta + gamma is equal to

Let alpha, beta and gamma be real numbers such that the system of linear equations x + 2y + 3z = alpha 4x + 5y + 6z = beta 7x + 8y + 9z = gamma-1 Let P be the plane containing all those (alpha, beta, gamma) for which the above system of linear equations is consistent, and D be the square of the distance of the point (0,1,0) from the plane P. The value of absM is ______

Let alpha, beta and gamma be real numbers such that the system of linear equations x + 2y + 3z = alpha 4x + 5y + 6z = beta 7x + 8y + 9z = gamma-1 Let P be the plane containing all those (alpha, beta, gamma) for which the above system of linear equations is consistent, and D be the square of the distance of the point (0,1,0) from the plane P. The value of D is ______

If alpha,beta,gamma are the cube roots of p then for any x,y and z(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha) is

A line makes angles alpha, beta, gamma with X, Y, Z axes respectively. If alpha=beta and gamma=45^(@) , then alpha=

If alpha, beta, gamma be the zeros of the polynomial p(x) such that (alpha+beta+gamma) = 3, (alpha beta+beta gamma+gamma alpha) =- 10 and alpha beta gamma =- 24 then p(x) = ?