COMEDK · Maths · 34. Three Dimensional Geometry
From a point \(P(a, b, c)\) perpendicular \(P A, P B\) are drawn to \(y z\) and \(z x\) planes. Find the equation of the plane \(O A B\), where \(O\) is the origin.
- A \(b c x+c a y+a b z=0\)
- B \(b c x+c a y-a b z=0\)
- C \(b c x-c a y+a b z=0\)
- D \(-b c x+c a y+a b z=0\)
Answer & Solution
Correct Answer
(B) \(b c x+c a y-a b z=0\)
Step-by-step Solution
Detailed explanation
\(P(a, b, c)\) and \(P A\) and \(P B\) are perpendicular to \(Y Z\) and \(Z X\) planes. Hence, coordinate of \(A\) and \(B\) are \((0, b, c)\) and \((a, 0, c)\) respectively. Equation of plane passing through \((0,0,0),(0, b, c)\) and…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- \(\text { If }|\vec{a} \times \vec{b}|^2+|\vec{a} \cdot \vec{b}|^2=144 ~\&~|\vec{a}|=4 \text { then }|\vec{b}|=\)COMEDK 2024 Easy
- The slope of line which makes an Angle \(60^{\circ}\) with the line \(x+y=2\) isCOMEDK 2024 Easy
- \(\text { The value of } \dfrac{i^{1004}+i^{1006}+i^{1008}+i^{1010}+i^{1012}}{i^{510}+i^{508}+i^{506}+i^{504}+i^{502}} \text { is }\)COMEDK 2024 Easy
- If \(A=\left[\begin{array}{lll}a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & a\end{array}\right]\), then \(|A|| \operatorname{adj} A \mid\) is equal toCOMEDK 2022 Medium
- \(\int \frac{\sec x}{\sec x+\tan x} d x=\)COMEDK 2019 Medium
- The coefficient of \(x^{24}\) in the expansion of \(\left(1-x^5\right)^{10}\) isCOMEDK 2024 Easy
More PYQs from COMEDK
- A straight line makes positive intercepts on the coordinate axes whose sum is 5 . If the line passes through the point \(P(-3,4)\) then the equation of a line isCOMEDK 2025 Medium
- The area of the region bounded by the line \(y = x + 2\) and the curve \(x = -y^2\) isCOMEDK 2026 Medium
- In an AC generator, a rectangular coil having 400 turns, each having an area of \(210 \mathrm{~cm}^2\) is rotated in a uniform magnetic field of magnitude 4 T . If the coil makes 480 revolutions in a minute, the maximum value of emf produced by the generator is:COMEDK 2025 Medium
- The number of triangles in a complete graph with 10 non-collinear vertices isCOMEDK 2018 Easy
- Choose the incorrect statement.COMEDK 2025 Medium
- The metallic ions that have almost same spin only magnetic moment are :
(i) \(\mathrm{Co}^{2+}\)
(ii) \(\mathrm{Mn}^{2+}\)
(iii) \(\mathrm{Cr}^{2+}\)
(iv) \(\mathrm{Cr}^{3+}\)COMEDK 2024 Medium