Explanation

tan 45° = 1

cot 45° = 1

tan² 45° + cot² 45°

= 1² + 1²

= 1 + 1

= 2

Last verified on 19-03-2026

Explanation

• Base (Radix): 2
• Digits used: 0, 1
• Used in: Computers, programming, digital circuits
• Each digit is called a bit (binary digit)
• Example: 1011₂

Last verified on 07-06-2026

Explanation

Option C is right answer.

Last verified on 26-05-2026

Explanation

Plug x = -5 into f(x) = |x² - 50|:

f(-5) = |(-5)² - 50|  

= |25 - 50|  

= |-25|  

= 25

Last verified on 26-05-2026

Explanation

3(2x - 5) = 4(x + 3)  

6x - 15 = 4x + 12  

6x - 4x = 12 + 15  

2x = 27

Last verified on 26-05-2026

Explanation

Multiply it out:

(x - 3)(x + 7) = x(x + 7) - 3(x + 7)  

= x² + 7x - 3x - 21  

= x² + 4x - 21

Compare with ax² + bx + c:

a = 1

b = 4

c = -21

Last verified on 26-05-2026

Explanation

Shaded portion = 4 out of 12 = 4/12 = 1/3 of the circle.

Total students = 2400  

Freshman students = 2400 × (4/12)  

= 2400 × (1/3)  

= 800

The freshman class has 800 students.

Last verified on 26-05-2026

Explanation

Total candidates = 160  

Enrolled = 15% of 160 = 0.15 * 160 = 24

Not enrolled = Total - Enrolled  

= 160 - 24  

= 136

136 students were not enrolled.

Last verified on 26-05-2026

Explanation

Selling price after discount = 80% of list price, because 100% - 20% = 80%.

Let list price = L.

So 0.8 * L = 480  

L = 480 / 0.8  

L = 600

The list price was Rs 600.

Last verified on 26-05-2026

Explanation

• x positive, y positive → First quadrant
• x negative, y negative → Third quadrant
• x positive, y negative → Fourth quadrant