For the following questions answer them individually
A chord of length 16 cm is drawn in a circle of radius 10 cm. The distance of the chord from the centre of the circle is
If x = a cosθ + b sinθ and y = b cosθ - a sinθ, then $$x^2 + y^2$$ is equal to
A can do a work in 12 days while B can do it in 15 days. They undertake to complete it together for Rs. 450. what will be the share of A in this amount of money ?
If $$x=\sqrt{2}+1$$, then the value of $$x^4-\frac{1}{x^4}$$ is
If $$9x^2+16y^2=60$$ and $$3x+4y=6$$, then the value of xy is
If in ΔABC, DE ||BC, AB = 7.5cm, BD = 6cm and DE = 2cm, then the length of BC in cm is :
Suppose that the medians BD, CE and AF of a triangle ABC meet at G. Then AG: GF is
If $$\frac{cos\theta}{1-sin\theta}+\frac{cos\theta}{1+sin\theta}=4$$ then the value of $$\theta(0<\theta<90^{\circ})$$ is
A sum of Rs. 2000 amounts to Rs. 4000 in two years at compound interest. In how many years does the same amount becomes Rs. 8000.
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