`A B C` is a triangle and A=(2,3,5),B=(-1,3,2) and C= `(lambda,5,mu).` If the median through `A` is equally inclined to the axes, then find the value of `lambda` and ` mu`

A B C is a triangle and A=(235)dotB=(-1,3,2)a n dC=(lambda,5,mu)dot If the median through A is equally inclined to the axes, then find the value of lambdaa n dmudot

ABC is a triangle in a plane with vertices A(2,3,5),B(-1,3,2) and C(lamda,5,mu) . If the median through A is equally inclined to the coordinate axes, then the value of lamda^(3)+mu^(3)+5 is

A B C is a triangle where A=(2,3,5)B=(-1,2,2)a n dC(lambda,5mu) , if the median through A is equally inclined to the axes then: lambda=mu=5 (b) lambda=5,mu=7 lambda=6,mu=9 (d) lambda=0,mu=0

if mu_21 is 1.5, then find the value of lambda_1/lambda_2.

Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a triangle and its median through A(I.e.,) AD is equally inclined to the coordinates axes. Q. On the basis of the above information answer the following Q. The value of 2lambda-mu is equal to

Let A(2hat(i)+3hat(j)+5hat(k)), B(-hat(i)+3hat(j)+2hat(k)) and C(lambdahat(i)+5hat(j)+muhat(k)) are vertices of a triangle and its median through A is equally inclined to the positive directions of the axes, the value of 2lambda-mu is equal to

Find the equation of line passing through the points P(-1,3,2) and Q(-4,2-2) . Also, if the point R(5,5,lambda) is collinear with the points P and Q, then find the value of lambda .

If the points A(-1,3,2),B(-4,2,-2)a n dC(5,5,lambda) are collinear, find the value of lambda .

For the parabola y=-x^(2) , let a lt 0 and b gt 0,P(a, -a^(2)) and Q(b, -b^(2)) . Let M be the mid-point of PQ and R be the point of intersection of the vertical line through M, with the parabola. If the ratio of the area of the region bounded by the parabola and the line segment PQ to the area of the triangle PQR be (lambda)/(mu) , where lambda and mu are relatively prime positive integers, then find the value of (lambda+mu) :

If A=[(1,-2,1),(2,lambda,-2),(1,3,-3)] be the adjoint matrix of matrix B such that |B|=9 , then the value of lambda is equal to