Archives

The result of subtraction is called the

The result of subtraction is called the difference. When a number is subtracted from another number, then the result produced will be another... View Article

Classify the following numbers as rational or irrational : (i) root of 23 (ii)root of 225 (iii)0.3796 (iv)7.478478.. (v)1.101001000100001…

(i) √23 √23 = 4.795831523... Since the decimal expansion is non-terminating and nonrecurring. Therefore, √23 is an... View Article

(2x+3)-(5X-7)/6x+11=-8/3. Solve the equation.

(2x+3)-(5x-7)/6x+11=-8/3 2x+3-5x+7/6x+11=-8/3 -3x+10/6x+11=-8/3 -9x+30 = -48x-88 -9x + 48x = -88 - 30 39x = -118 x=-118/39... View Article

In a quadrilateral ABCD, ∠B=90°, AD^2 = AB^2 + BC^2 + CD^2, prove that ∠ACD=90°.

Given, ∠ABC=90° and AD2 = AB2 + BC2 + CD2 ........(i) Let us join AC. Now, in triangle ABC, by Pythagoras theorem, AC2 = AB2 + BC2... View Article

Look at the pattern and fill in the blanks 16,23,30,37. =________

16,23,30,37, ___ In the given series, we can see, there is a differnece of 7 between the numbers. 23 - 16 = 7 30 - 23 = 7 37 - 30 = 7... View Article

A linear equation 2x-5y = 7 has (a) A unique Solution (b) Two Solutions (c) Infinite Many Solutions (d) No Solution

(c) Infinite Many Solutions Since, we are given with single equation, i.e., 2x + 5y = 7 and it has two variables. Therefore, for each value of... View Article

Find the measure of the angle which is double of its complementary angle? (a) 60° (b) 30° (c) 45° (d) 120°

Answer: (a) 60° Explanation: Let the measure of the angle is x. As we know, the sum of complementary angles is 90 degrees. Now as per the... View Article

What is the formula of a plus b whole square?

The formula of a plus b whole square is given by: (a + b)2 = a2 + b2 + 2ab... View Article

What is the full form of ” CBM”?

The full form of CBM is Cubic Meter.... View Article

Find ten rational numbers between -3/4 and 5/6.

Given, the two rational numbers are -3/4 and 5/6. Let us rationalise the denominators of both the rational numbers. LCM of 4 and 6 = 12... View Article

A boat running upstream takes 8 hours 48 minutes to cover a certain distance while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively? (A) 2:1 (B) 3:2 (C) 8:3 (D) 3:8

Given, distance covered by man, upstream in 8 hrs 48 min is equal to the distance covered by him downstream in 4 hrs. Let, Man's upstream... View Article

Prove that tan^2A +cot^2A +2 = cosec^2A sec^2A

To prove: tan2A +cot2A +2 = cosec2A sec2A By taking LHS, we have; tan2A +cot2A +2 = (1 + tan2A) + (1 + cot2A ) = sec2A +... View Article

Solve the following quadratic equation by factorisation method. 3x^2 – x -10 = 0

3x2 - x -10 = 0 3x2 - 6x + 5x - 10 = 0 3x (x - 2) + 5 (x -2) = 0 (3x + 5) (x - 2) = 0 x = -5/3 or x = 2 Therefore, -5/3 and 2 are... View Article

Find the value of cos 120^o.

Cos 120° = Cos (90 + 30) = - Sin 30° = -1/2 Therefore the value of cos 120° is -1/2.... View Article

Every rational number is an integer. Why or why not? Give example

Rational numbers are numbers which can be expressed as a fraction and also as positive numbers, negative numbers and zero. It can be written as... View Article

1. can two acute angles form a linear pair ? 2. can two obtuse angles form a linear pair? 3.can two right angles form a linear pair?

1. No, two acute angles cannot form a linear pair because their sum of angles is less than 180 degree. 2. No, two obtuse angles cannot form a... View Article

Village x has a population of 68000 which is decreasing at the rate of 1200 per year. Village y has a population of 42000, which is increasing at the rate of 800 per year. In how many years will the population of two villages be equal

Assume the numbers of years = x For village x Initial population = 68000 Decrease in one year = 1200 Decrease in x year = 1200x For village y... View Article