If 2r = h + √(r2 + h2) then the ratio r : h (r ≠ 0) is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 4 : 3
2r = h + √(r2 + h2)
⇒ (2r - h)2 = r2 + h2
⇒ 4r2 - 4rh + h2 = r2 + h2
⇒ 3r2 = 4rh
⇒ r/h = 4/3
SSC CGL Tier II Quant - 30/11/2016 • Quantitative Aptitude • Q26
If 2r = h + √(r2 + h2) then the ratio r : h (r ≠ 0) is:
Correct answer: C
Explanation
The correct answer is option 3 i.e. 4 : 3
2r = h + √(r2 + h2)
⇒ (2r - h)2 = r2 + h2
⇒ 4r2 - 4rh + h2 = r2 + h2
⇒ 3r2 = 4rh
⇒ r/h = 4/3