Column - I | Column - II |
(p) If\[f(x)={{x}^{3}}-6{{x}^{2}}+11x-6,\] then \[f(-1)=\_\_\_.\] | (i) \[-210\] |
(q) If \[f(x)=2{{x}^{3}}-13{{x}^{2}}+17x+12,\]then \[f(-3)=\_\_\_\_.\] | (ii) 1 |
(r) if \[x=\frac{4}{3}\]is a root of \[f(x)=6{{x}^{3}}-11{{x}^{2}}+kx-20,\]then \[k=\_\_\_\_.\] | (iii) \[-24\] |
(s) If \[x=-1\]is a root of \[f(x)={{x}^{100}}+2{{x}^{99}}+k,\]then \[k=\_\_\_.\] | (iv) 19 |
A) \[(p)\to (iii);(q)\to (iv);(r)\to (i);(s)\to (ii)\]
B) \[(p)\to (ii);(q)\to (iv);(r)\to (i);(s)\to (iii)\]
C) \[(p)\to (iii);(q)\to (i);(r)\to (iv);(s)\to (ii)\]
D) \[(p)\to (iii);(q)\to (ii);(r)\to (i);(s)\to (iv)\]
Correct Answer: C
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