JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank Points related to triangle (Orthocente Circumcentre Incentre), Area of some geometrical figures Collinearity

  • question_answer
    The area of the triangle formed by the lines \[7x-2y+10=0,\] \[7x+2y-10=0\] and  \[y+2=0\] is [IIT 1977]

    A) 8 sq. unit

    B) 12 sq. unit

    C) 14 sq. unit

    D) None of these

    Correct Answer: C

    Solution :

    On solving the simultaneous equations, we get the vertices of triangle as (- 2, - 2), (2, - 2) and (0, 5). Hence, area\[=\frac{1}{2}\,\left| \,\begin{matrix}    -2 & -2 & 1  \\    2 & -2 & 1  \\    0 & 5 & 1  \\ \end{matrix}\, \right|=14\,sq.\,units.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner