Question 1 :
A point on XOZ-plane divides the join of $(5, -3, -2)$ and $(1, 2, -2)$ at
Question 2 :
The ratio in which the plane $2x+3y-2z+7=0$ divides the line segment joining the points $(-1, 1, 3)$, $(2, 3, 5)$ is
Question 3 :
$A=\left(2,4,5\right)$ and $B=\left(3,5,-4\right)$ are two points. If the $xy$-plane, $yz$-plane divide $AB$ in the ratios $a:b,p:q$ respectively then $\dfrac{a}{b}+\dfrac{p}{q}$=
Question 5 :
If the line joining $A(1, 3, 4)$ and $B$ is divided by the point $(-2, 3, 5)$ in the ratio $1 : 3$, then $B$ is<br/>
Question 6 :
The ratio in which the line joining $(2, -4, 3)$ and $(-4, 5, -6)$ is divided by the plane $3x+2y+z-4=0$ is
Question 7 :
If $P(x,y,z)$ is a point on the line segment joining $Q(2,2,4)$ and $R(3,5,6)$ such that the projection of $\overrightarrow { OP } $ on the axes are $\displaystyle \frac { 13 }{ 5 } ,\frac { 19 }{ 5 } ,\frac { 26 }{ 5 } $ respectively, then $P$ divides $QR$ in ratio
Question 8 :
Assertion(A): If centroid and circumcentre of a triangle are known its orthocentre can be found.<br/>Reason (R) : Centriod, orthocentre and circumcentre of a triangle are collinear<br/>
Question 9 :
If $(0, b, 0)$ is the centroid of the triangle formed by the points $(4, 2, -3)$ , $({a}, -5, 1)$ and $(2, -6, 2)$ . If $a ,b$ are the roots of the quadratic equation $ x^2+px+q = 0 $, then $p,q$ are <br/>
Question 10 :
There are three points with position vectors $ -2a+3b+5c, a+2b+3c $ and$ 7a-c$. What is the relation between the three points?