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For the following questions answer them individually
On the top of a tower there is a flag staff. At a point 200m from the foot of the tower, the angles of elevation of the top and bottom of the flag staff are respectively $$60^{\circ}$$ and $$45^{\circ}$$. Then the length of the flag staff (mts) is
If m, n are integers such that $$x^{4} + 4x^{2} + mx + n$$ is a perfect square, then 2m - 3n =
If $$ax^{2} + bx + 6$$ leaves the remainders 12 and 15 when divided by $$x - 3$$ and $$x + 4$$ respectively. then 7a + 14b =
If the system of equations $$4x + 6y = 11, 2x + ay = 7$$ has no solution, then the value of a is
The sum of a given two digit number N and the number obtained by interchanging the two digits is 110. If the digits of that number N differ by 2, then that number N is equal to
If $$(2x + 3)^{10} = a_{0}+a_{1}x+ \cdot\cdot\cdot +a_{10}x^{10}$$, then $$a_{0}+a_{2}+a_{4}+ \cdot\cdot\cdot + a_{10} =$$
Day-wise Structured & Planned Preparation Guide
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