WBJEE · Maths · Three Dimensional Geometry
A straight line joining the points (1,1,1) and (0,0,0) intersects the plane \(2 x+2 y+z=10\) at
- A (1,2,5)
- B (2,2,2)
- C (2,1,5)
- D (1,1,6)
Answer & Solution
Correct Answer
(B) (2,2,2)
Step-by-step Solution
Detailed explanation
Equation of line joining the points (1,1,1) and (0,0,0) is \[ \begin{aligned} \frac{x-0}{1-0} &=\frac{y-0}{1-0}=\frac{z-0}{1-0}=\lambda \\ \Rightarrow & x=y=z=\lambda \end{aligned} \] So, the point is \((\lambda, \lambda, \lambda)\) The point intersects the plane…
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