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Question : 41 of 54
Marks:
+1 ,
-0
If the discriminant of the quadratic trinomial P ( x ) = a x 2 + b x + c ( a , b , c ∈ R ) P ( x ) [ 0 , ∞ )
If sin 2 x + sec 2 y = 1 ( x , y ) x , y , ∈ [ 0 , 2 π ]
If triangle A B C a , b c A , B C ‌ ‌ ( a + c − b ) ( a − c + b ) = b c A ‌
If a , b > 0 ( ‌ + ‌ )
Solution:
(A)
D = 0 therefore range cannot be
[ 0 , ∞ ) because leading coefficient'
a ' must also be positive
(B)
x = 0 , π , 2 π ‌ ‌ y = 0 , π , 2 π ∴ 9 ordered pairs
(C)
a 2 − c 2 − b 2 = − b c 2 b c ‌ cos ‌ A = b c A = ‌ A M ≥ G M minimum value is 4
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