The base of an isosceles right triangle is 30 cm its area is Area of a triangle = (1 / 2) × base × height = (1 / 2) × 30 × 30 = (900 / 2) = 450 cm2 The area of the given... View Article
The conjugate of 1 / (3 + 4i) is The conjugate of 1 / (3 + 4i) = (3 - 4i) / [(3 + 4i) (3 - 4i)] = (1 / 25) (3 - 4i)... View Article
If the median and range of four numbers {x, y, 2x + y, x − y}, where 0 < y < x < 2y, are 10 and 28 respectively, then the mean of the numbers is: Since 0 < y < x < 2y ∴ y > x / 2 ⇒ x − y < x / 2 ∴ x − y < y < x < 2x + y Median = [y + x]... View Article
Circumference C of a circle can be found by multiplying diameter d with_____. Circumference ‘C’ of a circle can be found by multiplying diameter ‘d’ with π.... View Article
Place commas correctly and write the numeral nine crores five lakh. Nine crore = 9 × (1 crore) = 9 × (1,00,00,000) = 9,00,00,000 1 lakh = 1,00,000 Five lakh = 5 × (1 lakh) = 5 × (1,00,000)... View Article
Find the principal value of sin-1 (1 / √2). Let x = sin-1 (1 / √2) The principal value of sin-1 x lies in [- π / 2, π / 2]. sin x = 1 / √2 Hence, x = π / 4.... View Article
If the day after tomorrow is Sunday, then what day was tomorrow’s day before yesterday? As the day after tomorrow is Sunday, today will be Friday and yesterday will be Thursday.... View Article
The value of cos (36° – A) cos (36° + A) + cos (54° – A) cos (54° + A) is cos (36° - A) cos (36° + A) + cos (54° - A) cos (54° + A) cos (54° + A) = sin [90° - (54° + A)] and ... View Article
True or False: Every polynomial is a binomial. The given statement is false. Not every polynomial is a binomial.... View Article
Find the circumcentre of the triangle whose vertices are (- 2, – 3), (- 1, 0), (7, – 6). A = (- 2, - 3) B = (- 1, 0) C = (7, - 6) AB = √12 + 32 = √10 BC = 10 and CA = √90 ABC is a right-angled triangle and the... View Article
Solve: 16 (3x − 5) − 10 (4x − 8) = 40. 16 (3x − 5) − 10 (4x − 8) = 40 ⟹ 48x − 80 − 40x + 80 = 40 ⟹ 8x = 40 ⟹ x = 5... View Article
True or False: Is Every Rational Number an Integer? The given statement is false. Every integer is a rational number but a rational number need not be an integer.... View Article
Express the following as improper fractions: 1] 7 (3 / 4) 2] 5 (6 / 7) 3] 2 (5 / 6) 4] 10 (3 / 5) 1] 7 (3 / 4) = 31 / 4 2] 5 (6 / 7) = 41 / 7 3] 2 (5 / 6) = 17 / 6 4] 10 (3 / 5) = 53 / 5... View Article
The H.C.F. of the fractions 8 / 21, 12 / 35 and 32 / 7 is 8 = 23 12 = 22 * 3 32 = 25 HCF (8, 12, 32) = 22 = 4 21 = 3 × 7 35 = 5 × 7 7 = 1 × 7 LCM (21, 35, 7) = 3 × 5 ×... View Article
The instrument to measure an angle is a The instrument to measure an angle is a protractor.... View Article
A graph of a cumulative frequency distribution is called A graph of a cumulative frequency distribution is called an ogive.... View Article
