Mathematics Tes...

What is the equation of straight line passing through the point (4, 3) and making equal intercepts on the coordinate axes?

Consider the curve y = e^2x.

What is the slope of the tangent to the curve at (0 ,1)?

What is$\frac{\mathrm{co}t{224}^0-\mathrm{co}t{134}^0}{\mathrm{co}t{226}^0+\mathrm{co}t{316}^0}$equal to?

Let z = x + iy where x, y are real variables i = √-1. If |2z-1| = |z - 2|, then the point z describes:

Consider the following statement in respect of the matrix A =

1. The matrix A is skew-symmetric

2. The matrix A is symmetric.

3. The matrix A is invertible.

Which of the above statements is/are correct?

Consider the following statements:

1. If 3θ is an acute angle such that sin 3θ = cos 2θ, then the measurement of θ in radian equals to π/10

2. One radian is the angle subtended at the centre of a circle by an arc of the same circle whose length is equal to the diameter of that circle.

Which of the above statements is/are correct?

The roots of the equation 2 a²x² - 2abx + b² = 0 when a<0 and b>0 are :

It has been found that if A and B play a game 12 times, A wins 6 times, B wins 4 times and they draw twice. A and B take part in a series of 3 games. The probability that they win alternately, is:

If A is any matrix, then the product AA is defined only when A is a matrix of order m × n where:

Let a vector$\overrightarrow{r}$make angle ${60}^0,{30}^0$with x and y-axes respectively.

What angle does$\overrightarrow{r}$make with z=axes