question_answer

Match the following.

Column-I	Column-II
(P) The  area  of \[\Delta OAB\](i)  with  O(0,  0),A{4,  0)  and B (0,  8) is	14 sq. units
(Q) The area  of \[\Delta ABC\](ii)  with A (2,  0), 6(6,  0) and C (4, 6) is	16 sq. units
(R) The area of \[\Delta OAB\](iii) with O(0, 0),A(7, 0) and B (0,4) is	12 sq. units

         

A)  \[(P)\to (iii),(Q)\to (i),(R)\to (iii)\]

B)  \[(P)\to (iii),(Q)\to (i),(R)\to (ii)\]

C)  \[(P)\to (iii),(Q)\to (ii),(R)\to (i)\]

D)  \[(P)\to (ii),(Q)\to (iii),(R)\to (i)\]

Correct Answer: D

Solution :

(P) Area of \[\Delta OAB\] \[=\frac{1}{2}\times OA\times OB\] \[=\frac{1}{2}\times 4\times 8\] = 16 sq. units (Q) Area of \[\Delta \Alpha \Beta C\] \[=\frac{1}{2}\times 4\times 6\] \[=12\,sq.\]units (R) Area of \[\Delta {\mathrm O}\Alpha \Beta \] \[=\frac{1}{2}\times 7\times 4\] = 14 sq. units