An algebra problem by Pankaj Joshi

Algebra Level 4

Number of values of the parameter α ϵ [ 0 , 2 π ] \alpha \epsilon [0,2\pi] for which the quadratic function ( s i n α ) x 2 + ( 2 cos ⁡ α ) x + ( cos ⁡ α + sin ⁡ α ) 2 (sin{\alpha})x^2 + (2\cos{\alpha})x +\dfrac{(\cos{\alpha}+\sin{\alpha})}{2} is the square of a linear function is


The answer is 2.

Pankaj Joshi by Pankaj Joshi , 23, India

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1 solution

Vagish Jha
Aug 15, 2014

This answer is wrong the correct will be 2 as sin Lie in only ist and second quadrant

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Thanks. I've updated the answer accordingly.

Can you submit a complete solution to this problem?

Calvin Lin Staff - 6 years, 10 months ago

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