List of practice Questions

From a helicopter, a person observes an object on the ground at an angle of depression of \(30^\circ\). If the helicopter is flying at a height of 500 m from the ground, then the distance between the person and the object is:

A boy observed the top of an electric pole at an angle of elevation of \(60^\circ\) when the observation point is 6 meters away from the foot of the pole, then the height of the pole is:

The magnetic force exerted on a 3 m length conductor carrying 2A current when placed in a uniform magnetic field 0.4 T at an angle 30° is

A chord of a circle of radius 4 cm is making an angle 60° at the centre, then the length of the chord is:

The volume of a right circular cone with radius 6 cm and height 7 cm is:
(use \(\pi = \frac{22}{7}\))

If two cubes each of volume 64 cm\(^3\) are joined end to end together, then the surface area of the resulting cuboid is:

The roots of the quadratic equation \(x^2 - 4x + 4 = 0\) are:

The area of a sector, whose radius is 7 cm with the angle 72° is:

If \(\csc \theta + \cot \theta = k\), then the value of \(\csc \theta\) is:

If two concentric circles of radii 5 cm and 3 cm are drawn, then the length of the chord of the larger circle which touches the smaller circle is:

Area of the triangle formed by the points \((-5, -1)\), \((3, -5)\) and \((5, 2)\) is:

If the areas of two similar triangles are 81 cm\(^2\) and 49 cm\(^2\) respectively. If the altitude of the smaller triangle is 3.5 cm, then the corresponding altitude of the bigger triangle is:

The centroid of the triangle with vertices \((1, -1)\), \((0, 6)\), and \((-3, 0)\) is:

Bond angle in BeCl\(_2\) molecule is

What is the area, in square units, of the triangle formed by the points \( (3, 2), (3, -6) \) and \( (5, 2) \)?

If -1, -2 are two zeros of a polynomial \(2x^3 + ax^2 + bx - 2\), then the values of \(a\) and \(b\) are

The product of prime factors of 2024 is:

The number of electrons gained by non-metallic element is equal to its

If \(\alpha, \beta\) are the zeros of the polynomial \(P(x) = 3x^2 - x - 4\), then \(\alpha \times \beta =\)

The pair of equations \(x + y = 5\) and \(2x + 2y = k\) has infinitely many solutions if \(k =\)

In \(\triangle ABC\), if \(DE \parallel BC\), \(AE/CE = 3/5\) and \(AB = 5.6\) cm, then \(AD =\):

The focal length of a concave mirror is 20 cm. At what distance the object is placed to obtain the virtual image?

A girl of height 90 cm is walking away from the base of a lamp post at a speed of 120 cm/sec. If the lamp post is 360 cm above the ground, then the length of her shadow after 4 seconds is: