If cosα=−1213,cotβ=247,90°<α<180° and 180°<β<270° then the quadrant in which α+β lies.

cosα=−1213, α∈Q2, cotβ=247, β∈Q3 ⇒90°<α<180° ⇒180<β<270 ∴ 270<α+β<450 ⇒α+β∈Q4 (or) Q1 ⇒sin(α+β)<0 ⇒α+β∈Q4

cosα=−1213, α∈Q2, cotβ=247, β∈Q3 ⇒90°<α<180° ⇒180<β<270 ∴ 270<α+β<450 ⇒α+β∈Q4 (or) Q1 ⇒sin(α+β)<0 ⇒α+β∈Q4

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Offline Centres

If $\cos α = \frac{- 12}{13}, \cot β = \frac{24}{7}, 90 ° < α < 180 °$ and $180 ° < β < 270 °$ then the quadrant in which $α + β$ lies.

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

III

answer is C.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

\cos α = \frac{- 12}{13}, α \in Q_{2}, \cot β = \frac{24}{7}, β \in Q_{3}

$\Rightarrow 90 ° < α < 180 °$ $\Rightarrow 180 < β < 270$

$∴$ $270 < α + β < 450$

$\Rightarrow α + β \in Q_{4} (o r) Q_{1}$

$\Rightarrow \sin (α + β) < 0$

$\Rightarrow α + β \in Q_{4}$

Watch 3-min video & get full concept clarity

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test