NDA2015MathematicsTrigonometric Ratios & IdentitiesActual
Let be the root of the equation 25 ^2 +5 -12=0 , where 2 . What is equal to?
Options
- A-3 4
- B3 4
- C-4 3
- D-4 5
Correct answer
A. -3 4
Step-by-step solution
Here is the root of equation 25 ^2 +5 -12=0 array ll 25 ^2 +5 -12=0 25 ^2 +20 -15 -12=0 5 (5 +4)-3(5 +4)=0 & (5 -3)(5 +4)=0 & = 3 5 or = -4 5 array Here, 2 = -4 5 ( In 2^ nd quadrant, value is negative) Now, = 1- ^2 = 1- 16 25 aligned & = 3 5 & = = 3 5 -5 4 = -3 4 aligned Option (A) is correct.