Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
satisfying 
. Which of the following statement(s) hold true for the quadratic polynomial 
A
The mouth of the parabola 
opens upwards
opens upwards B
Both roots of the equation 
are rational
are rational C
The 
-coordinate of vertex of the graph is positive
-coordinate of vertex of the graph is positive D
The product of the roots is always negative
Text Solution
Verified by ExpertsThe correct answer is:
A
(a, b, c)
Hence, the graph is concave upwards. Also, 
is obvious solution; therefore, both roots are rational.
Hence, abscissa of the vertex is positive. Option need not be correct as with 
and with 
, 
.
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