In the given figure, if PQ = 10 cm and P

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Home Questions K423H72A8R

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, if PQ = 10 cm and PR = 8 cm, then the value of \(\cos {θ}\ + cot {θ}\) = ?

Options:

\(\frac{27}{20}\) cm

\(\frac{45}{40}\) cm

\(\frac{27}{21}\) cm

\(\frac{20}{27}\) cm

Correct Answer:

\(\frac{27}{20}\) cm

Explanation:

Use triplets:- 6, 8, 10

⇒ QR = 6 cm

\(\cos {θ}\ + cot {θ}\) = \(\frac{6}{10}\) cm + \(\frac{6}{8}\) cm = \(\frac{24 + 30}{40}\) cm

= \(\frac{54}{40}\) cm = \(\frac{27}{20}\) cm