Exams › JEE Main › Maths

Find the reflection of the point (-1, 3, 4) across the plane x - 2y = 0.

1. (-17/3, -19/3, 4)
2. (15, 11, 4)
3. (-17/3, -19/3, 1)
4. None of these

Correct answer: None of these

Solution

The reflection of a point across a plane involves determining the perpendicular distance from the point to the plane and then moving the point that same distance on the opposite side of the plane. In this case, the calculations show that none of the provided options correctly represent the reflection of the point (-1, 3, 4) across the given plane.

Related JEE Main Maths questions

• Consider the following two statements: Statement 1: If A, B and C are points with position vectors a = 2î + ĵ + k̂, b = 3î - ĵ + 3k̂ and c = î + 7ĵ - 5k̂, then the figure OABC forms a tetrahedron. Statement 2: If the position vectors a, b and c of points A, B and C are non-coplanar, then OABC is a tetrahedron, where O denotes the origin. Choose the correct option.
• A moving plane always contains the fixed point (1, 2, 3). The set of points that are the perpendicular projections of the origin onto this plane is described by
• The direction cosines l, m, n of one of the two lines satisfying the relations l - 5m + 3n = 0 and 7l² + 5m² - 3n² = 0 are
• A straight line is equally inclined to the x-axis and the y-axis, making an angle α with each. If its angle θ with the z-axis satisfies sin²θ = 2 sin²α, determine α.
• Let Q be the reflection of the point P(2, 3, 4) across the plane x − 2y + 5z = 6. The equation of the line joining P and Q is
• Find the point where the perpendicular drawn from the point (2, 4, −1) meets the line x + 5 = (1/4)(y + 3) = (−1/9)(z − 6).

⚔️ Practice JEE Main Maths free + battle 1v1 →