The quadrilateral formed by the lines y = ax + c, y = ax + d, y = bx + c and y = bx + d has area 18. The quadrilateral formed by the line y = ax + c, y = ax – d, y = ax – d, y = bx + c and y = bx – d has area 72. If a, b, c, d are positive integers then the least possible value of the sum a + b + c + d is

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Solution

The correct option is D 16
$\frac{(c - d)^{2}}{| a - b |} = 18 a n d \frac{(c + d)^{2}}{| a - b |} = 72$
a = 3, b = 1, d = 3, c = 9 is a solution for which the minimum is attained.

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Similar questions

a, b, c, d \in N

y = a x + c, y = a x + d, y = b x + c

y = b x + d

18

y = a x + c, y = a x - d, y = b x + c

y = b x - d

72

a + b + c + d

Equation of line parallel to the line Ax + By + C = 0 is:

y^{2} = a x + b x + c

y^{3} \frac{d^{2} y}{d x^{2}}

y = a x^{2} + b x + c

a > 0

D > 0

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