If `H` is the harmonic mean between `Pa n dQ` then find the value of `H//P+H//Qdot`

Is there any relation between M and H ?

The position vectors of Pa n dQ are 5 hat i+4 hat j+a hat k and - hat i+2 hat j-2 hat k , respectively. If the distance between them is 7, then find the value of adot

Write the difference between C and H.

It there any relation between B and H ?

If the line passing through the focus S of the parabola y=a x^2+b x+c meets the parabola at Pa n dQ and if S P=4 and S Q=6 , then find the value of adot

If p is the first of the n arithmetic means between two numbers and q be the first on n harmonic means between the same numbers. Then, show that q does not lie between p and ((n+1)/(n-1))^2 p.

If a ,b ,a n dc be in G.P. and a+x ,b+x ,a n dc+x in H.P. then find the value of x ( a,b,c are distinct numbers) .

If the roots of the equation x^3+P x^2+Q x-19=0 are each one more that the roots of the equation x^3-A x^2+B x-C=0,w h e r eA ,B ,C ,P ,a n dQ are constants, then find the value of A+B+Cdot

Normal to the ellipse (x^2)/(64)+(y^2)/(49)=1 intersects the major and minor axes at Pa n dQ , respectively. Find the locus of the point dividing segment P Q in the ratio 2:1.

T P and T Q are tangents to the parabola y^2=4a x at Pa n dQ , respectively. If the chord P Q passes through the fixed point (-a ,b), then find the locus of Tdot