For the following questions answer them individually
In ΔABC, ∠A = 90°, AD ┴ BC and AD = BD = 2 cm. The length of CD is
If $$tan 45^{\circ}=cot\theta$$, then the value of θ, in radians is
$$(2^{51}+2^{52}+2^{53}+2^{54}+2^{55})$$ is divisible by
The average of 12 numbers is 9. If each number is multiplied by 2 and added to 3, the average of the new set of numbers is
If $$(a+\frac{1}{a})^2=3$$, then the value of $$a^6-\frac{1}{a^6}$$ will be
If $$\frac{\sqrt{2+x}+\sqrt{2-x}}{\sqrt{2+x}-\sqrt{2-x}}=2$$, the value of x isÂ
The perimeter of two similar triangles ABC and PQR are 36 cms and 24 cms respectively. If PQ = 10 cm then the length of AB is
In a triangle ABC, AB = 8 cm, AC = 10 cm and ∠B = 90°, then the area of ΔABC is
ABC is a triangle If $$sin(\frac{A+B}{2})=\frac{\sqrt{3}}{2}$$, then the value of $$sin\frac{C}{2}$$ is
The compound interest on Rs. 64,000 for 3 years, compounded annually at 7.5% p.a. is
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