Assertion (A): The curve y=x2−6x+9 touches the x-axis.
Reason (R): y=ax2+bx+c touches the x-axis iff Δ=b2−4ac=0
A
Both A and R are true and R is the correct explanation of A .
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B
Both A and R are true and R is not the correct explanation of A .
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C
A is true but R is false .
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D
A is false but R is true .
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Solution
The correct option is A Both A and R are true and R is the correct explanation of A . x2−6x+9 D=0 ∴It touches x-axis. If y=ax2+bx+c touches x-axis if D=0 b2−4ac=0