ill in the blanks and select the correct option.
(i) A rectangle has a length of 15 cm and width of 10 cm. If the length is increased by 20% and the width is decreased by 10%, the new area of the rectangle is P cm2.
(ii) A right-angled triangle has legs of lengths 6 cm and 8 cm. The length of the hypotenuse is Q cm.
Fill in the blanks and select the correct option.
(i) The sum of the interior angles of a polygon with 10 sides is P degrees.
(ii) The area of a square is 144 cm². The length of its diagonal is Q cm.
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Fill in the blanks and select the correct option.
(i) The number of diagonals in a hexagon is P.
(ii) The length of each side of an equilateral triangle with an area of 9√3 cm2 is Q cm.
Fill in the blanks and select the correct option.
(i) The surface area of a sphere with radius 7 cm is P cm2.
(ii) The volume of a cube with side 5 cm is Q cm3.
Fill in the blanks and select the correct option.
(i) The sum of the first 20 natural numbers is P.
(ii) The sum of the squares of the first 10 natural numbers is Q.
Fill in the blanks and select the correct option.
(i) The perimeter of a rectangle is 54 cm. If its length is 16 cm, its width is P cm.
(ii) The circumference of a circle with a radius of 7 cm is Q cm.
Fill in the blanks and select the correct option.
(i) The value of P if (x - 2)(x - 3) = x2 - Px + 6.
(ii) The value of Q if the mean of the first 5 prime numbers is Q.
Fill in the blanks and select the correct option.
(i) The area of a trapezium with bases 10 cm and 6 cm, and height 5 cm is P cm2.
(ii) The area of a triangle with base 8 cm and height 12 cm is Q cm2.
Fill in the blanks and select the correct option.
(i) If the quadratic equation x2 - 7x + 10 = 0 has roots α and β, then the value of α + β is P.
(ii) If the arithmetic mean of 8, 10, 12, 14, and 16 is Q.
Fill in the blanks and select the correct option.
(i) The LCM of 12 and 15 is P.
(ii) The HCF of 24 and 36 is Q.
15 videos|63 docs|45 tests
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15 videos|63 docs|45 tests
|