The orthocentre of the triangle formed by the lines 2x2+3xy−2y2−9x+7y−5=0 with 4x+5y−3=0 is

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(3/5, 11/5)

(6/5, 11/5)

(5/6, 11/5)

(3/5, 6/5)

answer is A.

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Detailed Solution

The component lines of given pair of straight lines are perpendicular to each other. So, orthocentre is the point of intersection of component lines. point of intersection of pair of lines ishf-bgab-h2,gh-afab-h2

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