Mathematics Tes...

What is the equation of the straight line passing through the point (2, 3) and making an intercept on the positive y-axis equal to twice its intercept on the positive x-axis?

How many numbers between 100 and 1000 can be formed with the digits 5, 6, 7, 8, 9, if the repetition of digits is not allowed?

In the equation:

\(\cos ^{-1} \frac{1-{a}^{2}}{1+{a}^{2}}-\cos ^{-1} \frac{1-{b}^{2}}{1+{b}^{2}}=2 \tan ^{-1} {x} \text { value of } {x} \text { is: }\)

If the ratio AM to GM of two positive numbers a and b is 5 : 3, then a : b is equal to?

What is the number of triangle that can be formed by choosing the vertices from a set of 12 points in a plane, seven of which lie on the same straight line? 

If a flag- staff of 6 m height placed on the top of a tower throws a shadow of 2√3 m along the ground, then what is the angle that the sun makes with the ground?

If the cardinality of a set A is 4 and that of a set B is 3, then what is the cardinality of the set A ∆ B?

The binary number expression of the decimal number 31 is?

If 0 < a < 1, the value of log₁₀a is negative. This is justified by

In a zoo, there are rabbits and pigeons. If heads are counted there are 340 heads and if legs are counted there are 1060 legs. How many pigeons are there?