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Related Questions

• If the vertices of a triangle be $(am_{1}^{2},2a{{m}_{1}}),\,(am_{2}^{2},2a{{m}_{2}})$ and $(am_{3}^{2},2a{{m}_{3}}),$ then the area of the triangle is

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• The locus of P such that area of $\Delta PAB=12sq.$ units, where $A(2,3)$ and $B(-4,5)$ is

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• If $\begin{vmatrix} {{x_1}}&{{y_1}}&1\\ {{x_2}}&{{y_2}}&1\\ {{x_3}}&{{y_3}}&1 \end{vmatrix} = \begin{vmatrix} {{a_1}}&{{b_1}}&1\\ {{a_2}}&{{b_2}}&1\\ {{a_3}}&{{b_3}}&1 \end{vmatrix}$, then the two triangle with vertices $({{x}_{1}},{{y}_{1}}),\,({{x}_{2}},{{y}_{2}}),\,$ $({{x}_{3}},{{y}_{3}})$ and $({{a}_{1}},{{b}_{1}}),\,$$\,({{a}_{2}},{{b}_{2}}),$ $({{a}_{3}},{{b}_{3}})$ must be

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• If the coordinates of vertices of $\Delta OAB$ are (0,0) $(\cos \alpha ,\,\sin \alpha )$ and $(-\sin \alpha ,\,\cos \alpha )$ respectively, then $O{{A}^{2}}+O{{B}^{2}}=$

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• A point moves such that the sum of its distances from two fixed points (ae,0) and (–ae,0) is always 2a. Then equation of its locus is

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