Question:

Let image of point(8,5,7) with respect to line \(\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-2}{5}\) is (α,β,γ). Then, α+β+γ is equal to______.

JEE Main

Updated On: Sep 17, 2024

10
12
9
14

Hide Solution

Verified By Collegedunia

The Correct Option is D

Solution and Explanation

The Correct answer is option is (D) : 14

Was this answer helpful?

1

0

Top Questions on Coordinate Geometry

Let \(\triangle ABC\) such that \(A(0,0)\) and vertices \(B\) and \(C\) lie on the parabola \[ y^2=8x. \] If \(\left(\frac{7}{3},\frac{4}{3}\right)\) is the centroid of \(\triangle ABC\), then \((BC)^2\) is equal to:
- JEE Main - 2026
- Mathematics
- Coordinate Geometry
View Solution
A circle \(x^2+y^2=4\) intersects the \(x\)-axis at \(A(-2,0)\) and \(B(2,0)\). If two variable points \(P(2\cos\alpha,\,2\sin\alpha)\) and \(Q(2\cos\beta,\,2\sin\beta)\) vary on the circle such that \(\alpha-\beta=\dfrac{\pi}{2}\), then find the locus of the point of intersection of lines \(AP\) and \(BQ\).
- JEE Main - 2026
- Mathematics
- Coordinate Geometry
View Solution
If $P(h,k)$ is a variable point on $x^2 + y^2 = 4$ and $Q(2h+1,\,3k+3)$ always lies on an ellipse, if eccentricity of the ellipse is $e$, then $\dfrac{5}{e^2}$ is equal to
- JEE Main - 2026
- Mathematics
- Coordinate Geometry
View Solution
The value(s) of \( \alpha \) for which the line \( \alpha x + 2y = 1 \) never touches the hyperbola \[ \frac{x^2}{9} - \frac{y^2}{1} = 1 \] is/are:
- JEE Main
- JEE Main - 2026
- Mathematics
- Coordinate Geometry
View Solution
Let \( O \) be the vertex of the parabola \( y^2 = 16x \). The locus of centroid of \( \triangle OPA \) when \( P \) lies on the parabola and \( A \) lies on the x-axis and \( \angle OPA = 90^\circ \).
- JEE Main - 2026
- Mathematics
- Coordinate Geometry
View Solution

View More Questions

Questions Asked in JEE Main exam

View More Questions