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Define signum function draw its graph and find its domain and range

Answer: The real function f : P → P defined by \(\begin{array}{l}\left\{\begin{matrix}\frac{\left | f(a) \right |}{f(a)}, a\neq 0 \\ 0,... View Article

If two tangents inclined at an angle of 60⁰, are drawn to a circle of radius 3 cm, the length of each tangent is equal to: (a) 3 (b) 6 (c) (3/2)√3 (d) 3√3

The tangent to any circle is perpendicular to the radius of the circle at point of contact. Let two Tangents... View Article

Locate root 10 on number line

Using Pythagoras theorem We can write the √10 as below √10 = (√9+1) This can be written as √10 =... View Article

How many elements does a triangle has?

A triangle has total six elements. They are its three angles and three sides.

In which table does 39 comes?

39 comes in the table of 1, 3, 13 and 39.

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... 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 irrational number. (ii) √225 √225... 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

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... 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 –... View Article

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

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... 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

What is the full form of ” CBM”?

The full form of CBM is Cubic Meter.

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... 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... View Article

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