Question:
S1 and S2 are two straight-line reflections of S1 in S2 and S2 in S1 coincide. Find the angle between both
When two straight-line reflections, S1 and S2, coincide, it implies that they are mirror images of each other with respect to a common line. In other words, S1 is a reflection of S2 and S2 is a reflection of S1, resulting in an overlap of their positions. In such a scenario, the angle between them is 0 degrees, meaning they are aligned perfectly.
S1 and S2 are two straight-line reflections of S1 in S2 and S2 in S1 coincide. Find the angle between both
When two straight-line reflections, S1 and S2, coincide, it implies that they are mirror images of each other with respect to a common line. In other words, S1 is a reflection of S2 and S2 is a reflection of S1, resulting in an overlap of their positions. In such a scenario, the angle between them is 0 degrees, meaning they are aligned perfectly.
Updated On: Aug 18, 2023
Hide Solution
Verified By Collegedunia
Solution and Explanation
The correct answer is π/3
Was this answer helpful?
0
0
Top Questions on Coordinate Geometry
- Two vertices of a triangle \( \triangle ABC \) are \( A(3, -1) \) and \( B(-2, 3) \), and its orthocentre is \( P(1, 1) \). If the coordinates of the point \( C \) are \( (\alpha, \beta) \) and the centre of the circle circumscribing the triangle \( \triangle PAB \) is \( (h, k) \), then the value of \[ (\alpha + \beta) + 2(h + k) \] equals:
- JEE Main - 2024
- Mathematics
- Coordinate Geometry
- Three points $O(0, 0)$, $P(a, a^2)$, $Q(-b, b^2)$, $a>0, b>0$, are on the parabola $y = x^2$. Let $S_1$ be the area of the region bounded by the line $PQ$ and the parabola, and $S_2$ be the area of the triangle $OPQ$. If the minimum value of $\frac{S_1}{S_2}$ is $\frac{m}{n}$, $\gcd(m, n) = 1$, then $m + n$ is equal to:
- JEE Main - 2024
- Mathematics
- Coordinate Geometry
- Let $\triangle ABC$ be an isosceles triangle in which $A$ is at $(-1, 0)$, $\angle A = \frac{2\pi}{3}$, $AB = AC$, and $B$ is on the positive $x$-axis. If $BC = 4\sqrt{3}$ and the line $BC$ intersects the line $y = x + 3$ at $(\alpha, \beta)$, then $\frac{\beta^4}{\alpha^2}$ is:
- JEE Main - 2024
- Mathematics
- Coordinate Geometry
- Let the locus of the midpoints of the chords of the circle \[x^2 + (y-1)^2 = 1\]drawn from the origin intersect the line $x + y = 1$ at $P$ and $Q$. Then, the length of $PQ$ is:
- JEE Main - 2024
- Mathematics
- Coordinate Geometry
- Let $P$ be a point on the ellipse \[\frac{x^2}{9} + \frac{y^2}{4} = 1.\]Let the line passing through $P$ and parallel to the $y$-axis meet the circle \[x^2 + y^2 = 9\]at point $Q$ such that $P$ and $Q$ are on the same side of the $x$-axis. Then, the eccentricity of the locus of the point $R$ on $PQ$ such that $PR : RQ = 4 : 3$ as $P$ moves on the ellipse, is:
- JEE Main - 2024
- Mathematics
- Coordinate Geometry
View More Questions
Questions Asked in AP EAMCET exam
Six coins tossed simultaneously then find the probability of getting at least 4 heads.
- AP EAMCET - 2023
- Probability
Find the products formed if chlorine reacts with the cold and dilute sodium hydroxide solution.
- AP EAMCET - 2023
- Chemical Reactions
- Find the coefficient of \(\frac{y^3}{x^8}\) in \((x+y)^{-5}\) ?
- AP EAMCET - 2023
- Binomial theorem
- Which compound is gem-dihalide?
- AP EAMCET - 2023
- Organic Chemistry- Some Basic Principles and Techniques
In 18.25 gram HCL gas and 500 gram water find molality.
- AP EAMCET - 2023
- Thermodynamics
View More Questions
Concepts Used:
Coordinate Geometry
Coordinate geometry, also known as analytical geometry or Cartesian geometry, is a branch of mathematics that combines algebraic techniques with the principles of geometry. It provides a way to represent geometric figures and solve problems using algebraic equations and coordinate systems.
The central idea in coordinate geometry is to assign numerical coordinates to points in a plane or space, which allows us to describe their positions and relationships using algebraic equations. The most common coordinate system is the Cartesian coordinate system, named after the French mathematician and philosopher René Descartes.
The central idea in coordinate geometry is to assign numerical coordinates to points in a plane or space, which allows us to describe their positions and relationships using algebraic equations. The most common coordinate system is the Cartesian coordinate system, named after the French mathematician and philosopher René Descartes.