# Science:Math Exam Resources/Courses/MATH110/December 2010/Question 05 (a)

MATH110 December 2010
Other MATH110 Exams

### Question 05 (a)

Two curves are said to intersect orthogonally at x =a if (i) they intersect at x = a and (ii) their tangent lines are perpendicular at x = a.

Verify that the curves ${\displaystyle y={\frac {1}{6}}{\sqrt {2x^{2}+7}}}$ and ${\displaystyle y=-2x^{2}+7x-{\frac {13}{6}}}$ intersect at ${\displaystyle x=3}$.

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