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For the following questions answer them individually
From the top of a building of height 20m, the angles of depression of the top and bottom of a tower are $$30^\circ, 60^\circ$$ respectively. Then the height of the tower. in meters, is
If the sum and product of the roots of the equation $$ax^2 - 5x + c = 0$$ are equal to 10 each. then the value of a and c respectively are
If one root of the equation $$3x^2 - 8x 2k + 1 = 0$$ is seven times the other, then the value of k
If $$a \neq b, x^2 + ax + b$$ and $$x^2 + bx + a$$ have a common factor, then
A number was divided successively by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is
If $$\frac{x + y}{xy} = \frac{5}{18}$$ and $$\frac{x - y}{xy} = \frac{1}{18}$$, then $$2x + 3y =$$
If $$x + y = a, y + z = b, z + x = c$$ then $$x - 2y + z =$$
If 9 times the $$9^{th}$$ tenn of an Arithmetic Progression is equal to 13 times the $$13^{th}$$ tenn, then the $$22^{nd}$$ tenn of the Arithmetic Progression is
If the third term of Geometric Progression is 4, then, the product of its first 5 terms is
If the coefficients of $$2^{nd}, 3^{rd}$$ and the $$4^{th}$$ tenns in the expansion of $$(1 + x)^n$$ are in Arithmetic Progression. Then the value of n is
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