The minimum area of the triangle formed by the variable line 3 cos- x -4 sin- y -12 and the coordinate axis isA- 144B- 25 - 2C- 49 - 4D- 12

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Standard XII

Mathematics

Parametric Form of Tangent: Hyperbola

The minimum a...

Question

The minimum area of the triangle formed by the variable line $3 c o s θ x + 4 s i n θ y = 12$ and the coordinate axis is

144

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25/2

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49/4

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Solution

The correct option is D
12

find area, verify for what value of θ, it is minimum. Substitute it back

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Draw the graphs of x - y + 1 = 0 and 3x + 2y - 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and x-axis and shade the triangular area. Calculate the area bounded by these lines and x-axis.

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The minimum area of the triangle formed by the variable line 3 cosθ x+4 sinθ y=12 and the coordinate axis is

The correct option is D 12 find area, verify for what value of θ, it is minimum. Substitute it back

The minimum area of the triangle formed by the variable line $3 c o s θ x + 4 s i n θ y = 12$ and the coordinate axis is

The correct option is D
12

find area, verify for what value of θ, it is minimum. Substitute it back