Frequency of an entry gives ___.

By increasing the list price of a book by ₹10, a person can buy 20 books less for ₹1200. The original price of the book was_____.

The areas of the major and the minor sector of a circle are equal when the central angle is .

If sec 5A = cosec (A-30o), then the value of A is ___.

Are the ratios 2:5 and 10:15 equivalent? Enter Yes or No in the blank provided. ___

Question 38 Without finding the cubes, factorise: (x−2y)3+(2y−3z)3+(3z−x)3

The group of intelligent students in a class is __________.

Two dice are thrown at the same time. Find the probability of getting different numbers on the dice.

Write the locus of a point of the sum of whose distance from the coordinates axes is unity.

Question 11 The fourth vertex D of a parallelogram ABCD whose three vertices are A(-2,3), B(6,7) and C(8,3) is (A) (0, 1) (B) (0, –1) (C) (–1, 0) (D) (1, 0)

Find the sum to n terms of the AP: 5, 2, -1, -4, -7, ...

If cosθ+sinθ=√2 sin(90∘−θ), then cos θ−sinθ=___

The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. Find the length and breadth of the plot.

Question 1 Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60∘.

Two identical cubes of side 4 cm are placed one above the other, forming a cuboid. Find the total surface area of the cuboid thus formed.