book Maths Puzzle Numerical Ability

Find the value of p if the line joining the points (3, -6) and (p, 10) is perpendicular to the line .

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book Other Question

The type of conic section whose equation is defined by :
4x.x+12x.y+9y.y-52x+26y-81=0
1.666 is less than or greater than 1.67