Assume the coordinates of point A to be (x1, y1). A divides PQ in the ratio 1 : 2. (x1,... View Article
Area of a triangle = (1 / 2) × base × height = (1 / 2) × 30 × 30... View Article
The conjugate of 1 / (3 + 4i) = (3 – 4i) / [(3 + 4i) (3 – 4i)] =... View Article
Since 0 < y < x < 2y ∴ y > x / 2 ⇒ x − y < x... View Article
Circumference ‘C’ of a circle can be found by multiplying diameter ‘d’ with π.
Nine crore = 9 × (1 crore) = 9 × (1,00,00,000) = 9,00,00,000 1 lakh = 1,00,000 Five lakh =... View Article
Let x = sin-1 (1 / √2) The principal value of sin-1 x lies in [- π / 2, π /... View Article
The given expression is \(\begin{array}{l}\Rightarrow \frac{1}{(1+i)^{3}}\\=\frac{1}{1+i^{3}+3 i^{2}+3 i} \\ =\frac{1}{1-i-3+3 i} \\ =\frac{1}{-2+2 i}\\=\frac{1}{(2-2 i)} \\ =-(2+2 i)\end{array} \)
As the day after tomorrow is Sunday, today will be Friday and yesterday will be Thursday.
cos (36° – A) cos (36° + A) + cos (54° – A) cos (54° + A) cos (54° +... View Article
The given statement is false. Not every polynomial is a binomial.
A = (- 2, – 3) B = (- 1, 0) C = (7, – 6) AB = √12 +... View Article
1 * 2 * 3 * 4 = 24
16 (3x − 5) − 10 (4x − 8) = 40 ⟹ 48x − 80 − 40x + 80 =... View Article
A = πr2 = π · 72 = 153.93804 cm2
The given statement is false. Every integer is a rational number but a rational number need not be an integer.
1] 7 (3 / 4) = 31 / 4 2] 5 (6 / 7) = 41 / 7 3] 2... View Article
Given \(\begin{array}{l}\begin{array}{l} \cos \frac{2 \pi}{7}+\cos \frac{4 \pi}{7}+\cos \frac{6 \pi}{7}=2 \cos \frac{3 \pi}{7} \cos \frac{\pi}{7}+\cos \frac{6 \pi}{7} \\ =2 \cos \frac{3... View Article
8 = 23 12 = 22 * 3 32 = 25 HCF (8, 12, 32) = 22 = 4 21... View Article
The instrument to measure an angle is a protractor.
