List of practice Questions

A line which intersects a circle in two distinct points is called
If one root of the quadratic equation \(2x^2 - x - 6 = 0\) is \(-\frac{3}{2}\) then its another root is
What is the nature of the roots of the quadratic equation \(2x^2 - 6x + 3 = 0\) ?
If A(0, 1), B(0, 5) and C(3, 4) are the vertices of any \(\triangle ABC\), then the area (in square unit) of \(\triangle ABC\) is
\(\tan 10^\circ \tan 23^\circ \tan 80^\circ \tan 67^\circ = \)
If the ratio of areas of two similar triangles is 100 : 144 then the ratio of their corresponding sides is
If \(p(x) = x^4 - 2x^3 + 17x^2 - 4x + 30\) is divided by \(q(x) = x + 2\) then the degree of the quotient is
How many solutions will \(x + 2y + 3 = 0\), \(3x + 6y + 9 = 0\) have?
If the graphs of two linear equations are parallel then the number of solutions will be
The pair of linear equations \(5x - 4y + 8 = 0\) and \(7x + 6y - 9 = 0\) is
If \(\alpha\) and \(\beta\) are roots of the quadratic equation \(3x^2 - 5x + 2 = 0\) then the value of \(\alpha^2 + \beta^2\) is
If one root of the quadratic equation \(2x^2 - 7x - p = 0\) is 2 then the value of p is
If \(\tan 25^\circ \times \tan 65^\circ = \sin A\) then the value of A is
If \(\cos \theta = x\) then \(\tan \theta = \)
\(1 - \cos^4 \theta = \)
What is the form of a point lying on y-axis ?
Which of the following quadratic polynomials has zeroes 3 and -10?
If the sum of zeros of a quadratic polynomial is 3 and their product is -2 then that quadratic polynomial is
The co-ordinates of the vertices of a triangle are (4, 6), (0, 4) and (5, 5) then the co-ordinates of the centroid of the triangle are
\(\sin(90^\circ - A) = \)
If \(\alpha = \beta = 60^\circ\) then the value of \(\cos(\alpha - \beta)\) is
If \(\theta = 45^\circ\) then the value of \(\sin \theta + \cos \theta\) is
If \(A = 30^\circ\) then the value of \(\frac{2 \tan A}{1 - \tan^2 A}\) is
If \(\tan \theta = \frac{12}{5}\) then the value of \(\sin \theta\) is
\(\frac{\cos 59^\circ}{\sin 31^\circ} \times \frac{\tan 80^\circ}{\cot 10^\circ} = \)