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Byju's Answer
Standard XII
Mathematics
f(x) Transforms to f(x+a) or f(x-a)
State whether...
Question
State whether True or False.
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
A
True
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B
False
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Solution
The correct option is
B
False
The polynomials of the form
(
x
+
a
)
2
and
(
x
−
a
)
2
has only equal roots and graph of these polynomials cut the
x
-axis at only one point.
These polynomials are quadratic polynomials.
For example :
x
2
+
2
x
+
1
=
0
cuts the
x
-axis at only one point i.e.
x
=
−
1
Thus, the given statement is false.
Suggest Corrections
6
Similar questions
Q.
Question2 (ii)
Are the following statements ‘True’ or False’? Justify your answer.
ii) If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial
Q.
Question 2 (iii)
Are the following statements ‘True’ or False’? Justify your answer.
iii) If the graph of a polynomial intersects the X-axis at exactly two points, it need not be a quadratic polynomial
Q.
If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial
Q.
If the graph of a polynomial intersect the x-axis at only one point, it can be
Q.
State True Or False, whether t
he following expression
is a
quadratic polynomial or not:
x
2
+
x
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f(x) Transforms to f(x+a) or f(x-a)
Standard XII Mathematics
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