AP EAMCET · Maths · Three Dimensional Geometry
Equation of the plane passing through the intersection of the lines \(\frac{x-1}{1}=\frac{y-2}{2}=\frac{z-5}{-3}\) and \(\frac{x+5}{3}=\frac{y-4}{-1}=\frac{z+3}{4}\) and parallel to the \(x y\)-plane is
- A \(z=4\)
- B \(z=2\)
- C \(z=5\)
- D \(z=-5\)
Answer & Solution
Correct Answer
(C) \(z=5\)
Step-by-step Solution
Detailed explanation
Equation of given lines \[ \frac{x-1}{1}=\frac{y-2}{2}=\frac{z-5}{-3}=r_1 \text { (Iet) } \] and \(\frac{x+5}{3}=\frac{y-4}{-1}=\frac{z+3}{4}=r_2\) (let) are intersecting lines, then on equating the parametric points on lines, we get…
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 pole of the line \(x+y+2=0\) with respect to the circle \(x^2+y^2-4 x+6 y-12=0\) isAP EAMCET 2017 Easy
- If the power of the point \((1,6)\) with respect to the circle \(x^2+y^2+4 x-6 y-a=0\) is -16, then \(\mathrm{a}=\)AP EAMCET 2025 Easy
- The product of the lengths of perpendiculars drawn from any point on the hyperbola \(x^2-2 y^2-2=0\) to its asymptotes is :AP EAMCET 2003 Medium
- If \(n\) is an integer with \(0 \leq n \leq 11\), then the minimum value of \(n !(11-1)\) ! is attained when a value of \(n\) equals toAP EAMCET 2014 Medium
- Let the eccentricity of the ellipse \(2 x^2+a y^2-8 x-2 a y\) \(+(8-a)=0\) be \(\frac{1}{\sqrt{3}}\). If the major axis of this ellipse is parallel to Y-axis, then the equation of the tangent to this ellipse with slope 1 isAP EAMCET 2023 Medium
- The number of common tangents to the circles \(x^2+y^2-4 x-2 y+k=0\) and \(x^2+y^2-6 x-4 y+l=0\), having radii 2 and 3 respectively, isAP EAMCET 2018 Easy
More PYQs from AP EAMCET
- At what temperature (in K ) the rms velocity of \(\mathrm{SO}_2\) molecules is equal to rms velocity of O, molecules at \(27^{\circ} \mathrm{C}\).AP EAMCET 2025 Medium
- The work functions of \(\mathrm{Ag}, \mathrm{Mg}, \mathrm{K}\) and \(\mathrm{Na}\) respectively in \(\mathrm{eV}\) are \(4.3,3.7,2.25,2.30\). When an electromagnetic radiation of wavelength of \(300 \mathrm{~nm}\) is allowed to fall on these metal surface, the number of metals from which the electrons are ejected is
\[
\left(\mathbf{e V}=1.6022 \times 10^{-19} \mathrm{~J}\right)
\]AP EAMCET 2017 Hard - Which of the following does not exist ?AP EAMCET 2025 Medium
- Which of the following parameters does not characterise the thermodynamic state of matter?AP EAMCET 2020 Easy
- AP EAMCET 2022 Medium
- A body is projected at an angle of with the horizontal such that the vertical component of its initial velocity is . The magnitude of velocity of the projectile at one quarter of its time of flight is nearly (Acceleration due to gravity )AP EAMCET 2019 Medium