10th Standard Math’s Chapter 5

Q.41

The angles of a cyclic quadrilateral ABCD are:

Then value of x and y are:

Q.42 A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Reema paid Rs. 22 for a book kept for six days, while Ruchika paid Rs 16 for the book kept for four days, then the charge for each extra day is:

Q.43 The roots of quadratic equation 5x² – 4x + 5 = 0 are

Q.44 Equation (x+1)² – x² = 0 has _____ real root(s).

Q.45 Which constant should be added and subtracted to solve the quadratic equation 4x² − √3x + 5 = 0 by the method of completing the square?

Q.46 If 1/2 is a root of the equation x² + kx – (5/4) = 0 then the value of k is

Q.47 A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.

Q.48  The product of two successive integral multiples of 5 is 300. Then the numbers are:

Q.49 If p²x² – q² = 0, then x =?

Q.50  If x² (a² + b²) + 2x (ac + bd) + c² +d² = 0 has no real roots, then