List of top Mathematics Questions on Some Properties of a Triangle asked in AP EAMCET

In a triangle ABC, if \( BC = 5 \), \( CA = 6 \), \( AB = 7 \), then the length of the median drawn from \( B \) onto \( AC \) is:
If \( A, B, C \) are the angles of a triangle, then \[ \sin 2A - \sin 2B + \sin 2C = \]
Evaluate the integral \( \int_0^{\pi} \frac{x \sin x}{1 + \cos^2 x} \, dx \):
Evaluate the integral \( \int_0^{\frac{\pi}{2}} \frac{1}{1 + \sqrt{\tan x}} \, dx \):
Evaluate the integral \( \int \frac{2 - \sin x}{2 \cos x + 3} \, dx \):
In the interval \([0, 3]\), the function \(f(x) = |x - 1| + |x - 2|\) is:
Evaluate the limit: \[ \lim_{x \to \frac{\pi}{4}} \frac{4\sqrt{2} - (\cos x + \sin x)^5}{1 - \sin 2x} = \]
The circumcentre of the triangle formed by the lines \(x + y + 2 = 0\), \(2x + y + 8 = 0\) and \(x - y - 2 = 0\) is
The probability that a man failing to hit a target is \(\frac{1}{3}\). If he fires 4 times, then the probability that he hits the target at least thrice is
In \( \triangle ABC \), \( (r_2 + r_3) \csc^2 \frac{A}{2} =\)
In a triangle \(ABC\), if \(a\neq b\), then
\[ \frac{a\cos A-b\cos B}{a\cos B-b\cos A}+\cos C= \]
If in a triangle \(ABC\), \(a=2\), \(b=3\) and \(c=4\), then
\[ \tan\left(\frac{A}{2}\right)= \]
If the angles of a triangle \(ABC\) are in the ratio \(1:2:3\), then the corresponding sides are in the ratio
In a triangle \(ABC\),
\[ r_1\cot\frac{A}{2}+r_2\cot\frac{B}{2}+r_3\cot\frac{C}{2}= \] where \(r_1,r_2,r_3\) are the exradii and \(s\) is the semi-perimeter.