Mathematics Tes...

A straight line passes through (1, –2, 3) and perpendicular to the plane 2x + 3y – z = 7.

What is the image of the point (1, –2, 3) in the plane?

What is the slope of the tangent of the curve y = sin^-1 (sin² x) at x = 0?

If any two adjacent rows or columns of a determinant are interchanged in position, the value of the determinant:

What is the equation of a parabola whose vertex is at (0, 0) and at the centre point (0, –2)?

The sum of an infinite GP is x and the common ratio r is such that |r|<1. If the first term of the GP is 2, then which one of the following is correct ?

Four points (0, 4, 1) (2, 3, -1) (4, 5, 0) (2, 6, 2) Which of the following are the vertices of the figure.

A line passes through the points (6, –7, –1) and (2, –3, 1). What are the direction ratios of the line?

If P and Q are two complex numbers, then the modulus of the quotient of P and Q is:

For two variables x and y, the two regression coefficients are b_yx =$-\frac{3}{2}$and b_xy =-$\frac{1}{6}$.The correlation coefficient between x and y is :

What is the mean of the squares of the first 20 natural numbers?