For the following questions answer them individually
If $$\frac{a^2+b^2}{c^2}=\frac{b^2+c^2}{a^2}=\frac{c^2+a^2}{b^2}=\frac{1}{k}, (k\neq0)$$ then k=?
The area of the largest triangle that can be inscribed in a semicircle of radius 6 m is
The value of $$\frac{sin\theta}{1+cos\theta}+\frac{sin\theta}{1-cos\theta}$$ is
Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. The ratio between the capacity of a man and a woman is
If $$2x+\frac{2}{9x}=4$$, then the value of $$27x^3+\frac{1}{27x^3}$$ is
In a cyclic quadrilateral ABCD ∠BCD=120° and AB passes through the centre of the circle. Then ∠ABD = ?
The midpoints of AB and AC of a triangle ABC are X and Y respectively. If BC+XY=12 units, then BC-XY is
In an isosceles ΔABC, AD is the median to the unequal side meeting BC at D. DP is the angle disector of ∠ADB and PQ is drawn parallel to BC meeting AC at Q. Then the maeasure of ∠PDQ is
129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of a cliff is 30°. The height of this cliff is
The volume of metallic cylindrical pipe of uniform thickness is 748 c.c. Its length is 14 cm and its external radius is 9 cm. The thickness of the pipe is
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