CUET · MATHS · PYQ PAPER 2023
The equation of plane which cuts equal intercepts of unit length on the coordinate axes is:
- A \(x+y+z=3\)
- B \(x+y-z=1\)
- C \(x+y+z=1\)
- D \(x+y+z=0\)
Answer & Solution
Correct Answer
(C) \(x+y+z=1\)
Step-by-step Solution
Detailed explanation
Equation of plane in intercept form: \( \frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1 \) Given \( a=1, b=1, c=1 \): \( \frac{x}{1} + \frac{y}{1} + \frac{z}{1} = 1 \) \( x+y+z=1 \)
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
- The points of discontinuity of the function \(f\) defined by \(f(x)=\begin{cases} x + 2 & x \leq 1 \\x - 2 & 1 < x < 2\text { are: } \\0 & x \geq 2 \end{cases}\)CUET 2023 Medium
- \(\int_{-\pi}^\pi \frac{e^{\sin x}}{e^{\sin x}+e^{-\sin x}} d x\) is equal to:CUET 2025 Easy
- Given that \(p_0\) and \(p_1\) represent base and current prices of a commodity, \(q_0\) and \(q_1\) refer to the base and current quantities, then the formula used to calculate price relativesCUET 2023 Medium
- The sum of the order and degree of the differential equation representing the family of curves \(y=m x+m^4\), where \(m\) is arbitrary constant, isCUET 2025 Easy
- If \(A\) is a \(3 \times 3\) matrix such that \(|\operatorname{adj} A|=9\) and \(\left|k A^{-1}\right|=9\), then the value of \(k\) are :CUET 2025 Easy
- Let \(N\) be set of natural numbers, then the function \(f : N \rightarrow N\), defined by
\(f(n)=\left\{\begin{array}{ll}\frac{n+1}{2} & ,\text { if } n \text { is odd } \\ \frac{n}{2} & , \text { if } n \text { is even }\end{array}\right.\) isCUET 2025 Easy
More PYQs from CUET
- If \(A=\left[\begin{array}{lll}2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2\end{array}\right]\) then \(A^5\) is :CUET 2023 Easy
- Which of the following hormone is/are secreted by corpus luteum?
(A) Progesterone
(B) LH
(C) FSH
(D) EstrogenCUET 2023 Medium - If the flux entering and leaving the enclosed surface respectively are \(\Phi_1\) and \(\Phi_2\) then the electric charge inside the surface is :CUET 2023 Hard
- If primary producers are exposed to 1,000,000 Joules of sunlight, the amount of energy transferred to tertiary consumers will be:CUET 2023 Easy
- In the decay chain given below the sequential order in which the radioactive radiations are emitted will be :
\(^{A}_{Z}X \to ^{A}_{Z+1}Y \to ^{A-4}_{Z-1}P^* \to ^{A-4}_{Z-1}P\)CUET 2023 Easy - A function \(f: R \rightarrow R\) defined by \(f(x)=\frac{x}{x^2+1}\) is (where \(R\) is the set of real numbers) :CUET 2025 Medium