AP EAMCET · Maths · Three Dimensional Geometry
The equation of the locus of a point \(P(x, y, z)\) such that it's distance from the \(X\)-axis is equal to its distance from the plane \(x+z=1\) is
- A \(x^2-2 y^2-z^2+2 x z-2 x-2 z+1=0\)
- B \(x^2-2 y^2-z^2+2 x z-2 x-2 z-1=0\)
- C \(x^2+2 y^2+z^2+2 x z-2 x-2 z+1=0\)
- D \(x^2-2 y^2-z^2+2 x z-2 x+2 z+1=0\)
Answer & Solution
Correct Answer
(A) \(x^2-2 y^2-z^2+2 x z-2 x-2 z+1=0\)
Step-by-step Solution
Detailed explanation
As it is given that the distance of a point \(P(x, y, z)\) from the \(X\)-axis is equal to its distance from the plane \(x+z=1\), so…
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
- For any two events, \(A, B\) if \(P(A \cup B)=a P(A \cap B)+b P(A)+c P(B)\), then \(3 a+2 b+5 c=\) ?AP EAMCET 2020 Easy
- If \(2 x+3 y=5\) is the perpendicular bisector of the line segment joining the points \(A\left(1, \frac{1}{3}\right)\) and \(B\), then \(B\) is equal toAP EAMCET 2013 Medium
- The general solution of \(\frac{d y}{d x}=\cos ^2(x-y-1)\) is given by \(\mathrm{x}=\)AP EAMCET 2023 Medium
- The equation of hyperbola whose eccentricity is \(\frac{5}{3}\) and distance between the foci is 10 units isAP EAMCET 2021 Easy
- The set of all real values of \(x\) satisfying the inequation \(\frac{8 x^2-14 x-9}{3 x^2-7 x-6}>2\) isAP EAMCET 2025 Medium
- If \(A, B\) and \(C\) are mutually exclusive and exhaustive events of a random experiment such that \(P(B)=\frac{3}{2} P(A)\) and \(P(C)=\frac{1}{2} P(B)\), then \(P(A \cup C)\) equals toAP EAMCET 2014 Medium
More PYQs from AP EAMCET
- amperes of current is passed for seconds through an aqueous solution using platinum electrodes. The mass of copper consumed from the solution and volume of gas liberated at STP are respectively (molar mass of )AP EAMCET 2022 Medium
- For how many natural numbers ' \(n\) ' such that \(1 \leq n \leq 2021\) is \(\left(\frac{1+i}{1-i}\right)^n=1\) ?AP EAMCET 2020 Medium
- Which one of the following is the kinetic energy of a gaseous mixture containing \(3 \mathrm{~g}\) of hydrogen and \(80 \mathrm{~g}\) of oxygen at temperature \(T(K)\) ?AP EAMCET 2016 Medium
- The distance between the carbon atom and the oxygen atom in a carbon monoxide molecule is \(1.1 Å\). Given, mass of carbon atom is \(12 \mathrm{amu}\) and mass of oxygen atom is 16 amu. Calculate the position of the centre of mass of the carbon monoxide molecule.AP EAMCET 2021 Medium
- If a circle is inscribed in an equilateral triangle of side a, then the area of any square (in sq. units) inscribed in this circle isAP EAMCET 2024 Medium
- The amino acid containing indole part isAP EAMCET 2015 Easy