jee-advanced 2005 Q13

jee-advanced · India · mains Areas Between Curves Area Involving Conic Sections or Circles

13. Find the area bounded by the curves $x ^ { 2 } = y , x ^ { 2 } = - y$ and $y ^ { 2 } = 4 x - 3$.

If $P = \left[ \begin{array} { c c } \sqrt { 3 } / 2 & 1 / 2 \\ - 1 / 2 & \sqrt { 3 } / 2 \end{array} \right] , A = \left[ \begin{array} { l l } 1 & 1 \\ 0 & 1 \end{array} \right]$ and $Q = P A P ^ { T }$, then $P ^ { T } Q ^ { 2005 } P$ equals

13. Find the area bounded by the curves $x ^ { 2 } = y , x ^ { 2 } = - y$ and $y ^ { 2 } = 4 x - 3$.\\

Paper Questions

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