NDA || Maths_&_Science || Weekly_Revision_Quiz_2020

If X= {3,4,5} , R = Then minimum number of elements may be adjoined with the elements of R so that it may become transitive is

Translate the hyperbola defined by the equation 9x² - 4 y² + 54x + 8y + 41 = 0 up 2 units and to the left 16 units. Write the standard equation of the resulting hyperbola.

Find the Coordinates of the vertices 25x² – 9y² = 225

If the distance between the points (a, 0, 1) and (0, 1, 2) is , then the value of a is,

Show that the triangle ABC with vertices A(0, 4, 1), B(2, 3, -1) and C(4, 5, 0) is right angled.

If volume of two spheres are in the ratio 64 : 27, then the ratio of their surface areas is

Let  and  be the position vectors of the points P and Q respectively with respect to origin O. The points R and S divide PQ internally and externally respectively in the ratio 2 : 3. If  and  are perpendicular, then which one of the following is correct?

If the correlation coefficient between x and y is 0.6, covariance is 27 and variance of y is 25, then what is the variance of x?

Consider the following statements:

1) The sum of deviations from mean is always zero.

2) The sum of absolute deviations is minimum when taken around median.

Which of the above statements is/are correct?

If 4x - 5y + 33 = 0 and 20x - 9y = 107 are two lines of regression, then what are the values of  and  respectively?