List of top Mathematics Questions on Lines and Angles asked in TS POLYCET

If \( \frac{5}{x+1} + \frac{1}{y-3} = 2 \) and \( \frac{6}{x+1} - \frac{3}{y-3} = 1 \), then \( x = \dots \):
If the pair of equations \( 3x + 4y = k \) and \( 9x + 12y = 6 \) has infinite number of solutions, then the value of k is:
The solution of system of equations \( \frac{x}{2025} + \frac{y}{2026} = 2 \) and \( \frac{2x}{2025} - \frac{y}{2026} = 1 \) is:
If the pair of linear equations \(a_1x + b_1y + c_1 = 0\) and \(a_2x + b_2y + c_2 = 0\) represent coincident lines, then:
If the equations \(x + 2y = 5\) and \(3x + ky = 10\) are inconsistent, then the value of \(k\) is:
The pair of linear equations \( 2x - 3y = 8 \) and \( 4x - 6y = 9 \) represents the following:
The angle of elevation of top of the cliff from a point 300 m from its foot is 600. Then the height of the cliff is
A person is flying a kite at a height of 30 m from the horizontal level. The length of string from the kite to the person is 60 m. Assuming that here is no slack in the string, the angle of elevation of kite to the horizontal level is