List of practice Questions

Area of a triangle formed by the line \(x \cos \alpha + y \sin \alpha = p\) with the coordinate axes is

Find the value of \(\log_{0.1} 0.01\)

From the figure, \(θ=\)

How many two digit numbers are divisible by 7?

If \(2^x=8^2\) then \(x=?\)

If 7x-5y=2 and 3x+y=4, then x=?

If A+B=90° and cot B =¾ then the value of tan A=

If \(\Delta ABC ∼ \Delta PQR\),\(∠A=32°,∠R=65°\) then \(∠B=?\)

If \(α, ẞ\) are the roots of a quadratic equation \( ax^2 + bx+c=0, a ≠0\) then \(\frac{1}{\alpha} + \frac{1}{\beta}\)=___

If \(\sum_{n=45}\), then n= ____

If the diameter of a sphere is 'd' then its volume is

If the mean of 6, 7, x, 8, y, 14 is 9 then x+y=

If the roots of the quadratic equation \(ax^2 + bx+c=0\) are \(sin α\) and \(cos α\), then \(1+2\frac{c}{a}=\)

If the slope of the line through (x, 5) and (5, 2) is 3, then the value of x is

If the system of equations 3x-2y-7=0 and kx+2y+11=0 has unique solution then

If three coins are tossed simultaneously, then the probability of getting at least two heads is

If \(x^2+kx+1=0\) has a root x=1 then k=____

If x+7y=7 and 7x-3y=-3, then y =?

In the figure, AP=12 cm, PB = 16 cm. Let \(\pi=3\), then the perimeter of the shaded portion is

In the figure \(∠BAO 30°, ∠BCO=40°\) then \(∠AOC = ?\)

In the figure, the value of cosec A is

Mode of A, B, C, D,.........., Z is

Solution of the equations 3x-4y=7 and 2x+3y=-1 is not equal to

The A.M. of 30 students is 42. Among them, two students got zero marks. Then A.M. of the remaining students is

The angle in the minor segment is