2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Vector Algebra

JEE Main & Advanced Mathematics Vector Algebra Question Bank Self Evaluation Test - Vector Algebra

  • question_answer
    The vectors \[\hat{i}-2x\hat{j}-3y\hat{k}\] and \[\hat{i}+3x\hat{j}+2y\hat{k}\] are orthogonal to each other. Then the locus of the point (x, y) is

    A) Hyperbola

    B) Ellipse

    C) Parabola

    D) Circle

    Correct Answer: D

    Solution :

    [d] \[(\hat{i}-2x\hat{j}-3y\hat{k}).(\hat{i}+3x\hat{j}+2y\hat{k})=0\] \[1-6{{x}^{2}}-6{{y}^{2}}=0\] \[-6{{x}^{2}}-6{{y}^{2}}=-1\] \[{{x}^{2}}+{{y}^{2}}=\frac{1}{6}\] \[{{x}^{2}}+{{y}^{2}}={{\left( \sqrt{\frac{1}{6}} \right)}^{2}}\]


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