Question:
In this figure PQ ⊥ RS and RT ∥ PQ. if ∠PST = 68° then find reflexive ∠RTS.
In this figure PQ ⊥ RS and RT ∥ PQ. if ∠PST = 68° then find reflexive ∠RTS.
Updated On: Mar 28, 2026
- (A) 134°
- (B) 292°
- (C) 234°
- (D) 102°
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Explanation:
Given:PQ ⊥ RSRT ∥ PQ∠PST = 68°Calculation:RT ∥ PS⇒ ∠PST = ∠RTS = 68° (Alternative angles)Reflexive ∠RTS = 360° - ∠RTS⇒ 360° - 68° = 292°∴ Reflexive ∠RTS is 292°Hence, the correct option is (B).
Given:PQ ⊥ RSRT ∥ PQ∠PST = 68°Calculation:RT ∥ PS⇒ ∠PST = ∠RTS = 68° (Alternative angles)Reflexive ∠RTS = 360° - ∠RTS⇒ 360° - 68° = 292°∴ Reflexive ∠RTS is 292°Hence, the correct option is (B).
Was this answer helpful?
0
0
Top MHT CET Mathematics Questions
- Evaluate the integral: \(\int \frac{2x}{x^2 - 5x + 4} \, dx\)
- If \(\tan^{-1}(-1) + \tan^{-1}(5) + \tan^{-1}(3) + \tan^{-1}\left(\frac{1}{4}\right) = \pi + \tan^{-1}\left(\frac{\alpha}{2}\right)\), find \(\alpha\).
- For the curve \(y = 3x^3 - 3x^2 + 1\) at \(x = 1\), find the equation of the tangent.
- MHT CET - 2026
- Mathematics
- Inverse Trigonometric Functions
- If \(y = f\left(\frac{3 + 2x}{3 - 2x}\right)\), where \(f(x) = \tan(\log x)\), and \(\frac{dy}{dx} = \frac{A}{B + Cx^2} \cdot \sec^2\left(\log \frac{3 + 2x}{3 - 2x}\right)\), then find \(A, B, C\).
- MHT CET - 2026
- Mathematics
- Coordinate Geometry
- If \(\cos 4x = \cos 3x\), find the general solution for \(x\).
- MHT CET - 2026
- Mathematics
- Trigonometry
View More Questions
Top MHT CET Exponential and Logarithmic Functions Questions
- Find the sum of the first 20 terms of the arithmetic progression: \( 2, 5, 8, 11, \dots \).
- MHT CET - 2025
- Mathematics
- Exponential and Logarithmic Functions
- Find the value of \( \log_3 81 \).
- MHT CET - 2025
- Mathematics
- Exponential and Logarithmic Functions
- Solve for \( x \): \( \log_2 (x-1) = 3 \).
- MHT CET - 2025
- Mathematics
- Exponential and Logarithmic Functions
- If \( \log_2 x = 5 \), what is the value of \( x \)?
- MHT CET - 2025
- Mathematics
- Exponential and Logarithmic Functions
- Find the value of \( \log_2 32 \).
- MHT CET - 2025
- Mathematics
- Exponential and Logarithmic Functions
View More Questions
Top MHT CET Questions
- Evaluate the integral: \(\int \frac{2x}{x^2 - 5x + 4} \, dx\)
- MHT CET - 2026
- Calculus
- If \(\tan^{-1}(-1) + \tan^{-1}(5) + \tan^{-1}(3) + \tan^{-1}\left(\frac{1}{4}\right) = \pi + \tan^{-1}\left(\frac{\alpha}{2}\right)\), find \(\alpha\).
- MHT CET - 2026
- Calculus
- For the curve \(y = 3x^3 - 3x^2 + 1\) at \(x = 1\), find the equation of the tangent.
- MHT CET - 2026
- Inverse Trigonometric Functions
- If \(y = f\left(\frac{3 + 2x}{3 - 2x}\right)\), where \(f(x) = \tan(\log x)\), and \(\frac{dy}{dx} = \frac{A}{B + Cx^2} \cdot \sec^2\left(\log \frac{3 + 2x}{3 - 2x}\right)\), then find \(A, B, C\).
- MHT CET - 2026
- Coordinate Geometry
- If \(\cos 4x = \cos 3x\), find the general solution for \(x\).
- MHT CET - 2026
- Trigonometry
View More Questions