KCET · Maths · Matrices
The distance of the point \( P(a, b, c) \) from the \( x \)-axis is
- A \( \sqrt{b^{2}+c^{2}} \)
- B \( \sqrt{a^{2}+c^{2}} \)
- C \( \sqrt{a^{2}+b^{2}} \)
- D \( 1 a \)
Answer & Solution
Correct Answer
(A) \( \sqrt{b^{2}+c^{2}} \)
Step-by-step Solution
Detailed explanation
Given points \(\mathrm{P}(\mathrm{a}, \mathrm{b}, \mathrm{c})\) and \(\mathrm{A}(\mathrm{a}, 0,0)\)
So, distance is given by
\(\sqrt{0^{2}+b^{2}+c^{2}}\)
\(=\sqrt{b^{2}+c^{2}}\)
So, distance is given by
\(\sqrt{0^{2}+b^{2}+c^{2}}\)
\(=\sqrt{b^{2}+c^{2}}\)
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 value of \(\int_0^{2 \pi} \sqrt{1+\sin \left(\frac{x}{2}\right)} d x\) isKCET 2025 Medium
- If \( x^{y}=e^{x-y} \) then \( \frac{d y}{d x} \) is equal toKCET 2016 Easy
- The function \(f(x)=[x]\), where \([x]\) denotes the greatest integer not greater than \(x\), isKCET 2010 Easy
- The angle between the lines whose direction ratios are \(a, b, c\) and \(b - c, c - a, a - b\) isKCET 2026 Easy
- Consider the following statements :
Statement(I) : The set of all solutions of the linear inequalities \(3 x+8 \lt 17\) and \(2 x+8 \geq 12\) are \(x \lt 3\) and \(x \geq 2\) respectively.
Statement(II) : The common set of solutions of linear inequalities \(3 x+8 \lt 17\) and \(2 x+8 \geq 12\) is \((2,3)\).
Which of the following is true?KCET 2025 Easy - The rate of change of volume of a sphere with respect to its surface area when the radius is \( 4 \)
\( \mathrm{cm} \) isKCET 2017 Easy
More PYQs from KCET
- The magnetic dipole moment of a current loop is independent ofKCET 2009 Easy
- The rms velocity of hydrogen is \(\sqrt{7}\) times the rms velocity of nitrogen. If \(T\) is the temperature of the gas, which of the following is true?KCET 2011 Easy
- The process of super imposing message signal on high frequency carrier wave is calledKCET 2016 Easy
- The horizontal component of Earth's magnetic field at a place is \(3 \times 10^{-5} \mathrm{~T}\). If the dip at that place is \(45^{\circ}\), the resultant magnetic field at that place isKCET 2023 Easy
- Which of the following can be measured by the Ostwald-Walker dynamic method?KCET 2008 Easy
- Carbon cannot reduce \(\mathrm{Fe}_{2} \mathrm{O}_{3}\) to \(\mathrm{Fe}\) at a temperature below \(983 \mathrm{~K}\) becauseKCET 2011 Medium