| Column - I | Column - II | ||
| (i) | \[{{a}^{2}}-{{b}^{3}}\] when \[a=3\] and \[b=2\] | (a) | \[0\] |
| (ii) | \[{{z}^{3}}-3(z-10)\] when \[z=10\] | (b) | \[-12\] |
| (iii) | \[{{x}^{2}}+2x+1\] when \[x=-1\] | (c) | \[1000\] |
| (iv) | \[5p-2\] when \[p=-2\] | (d) | \[1\] |
A) \[\left( i \right)-\left( d \right),\left( ii \right)-\left( a \right),\left( iii \right)-\left( b \right),\left( iv \right)-\left( c \right)\]
B) \[\left( i \right)-\left( d \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( b \right),\left( iv \right)-\left( a \right)\]
C) \[\left( i \right)-\left( a \right),\left( ii \right)-\left( b \right),\left( iii \right)-\left( c \right),\left( iv \right)-\left( d \right)\]
D) \[\left( i \right)-\left( d \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( a \right),\left( iv \right)-\left( b \right)\]
Correct Answer: D
Solution :
Substitute the given values in the expressions and evaluate. \[{{a}^{3}}-{{b}^{3}}={{3}^{3}}-{{2}^{3}}=9-8=1\] \[{{z}^{3}}-3\,(z-10)={{10}^{3}}-3\,(10-10)\] \[={{10}^{3}}-0=1000\] \[{{x}^{2}}+2x+1={{(-1)}^{2}}+2(1)+1\] \[=1-2+1=0\]
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