Factorise: x^3-3x^2+3x+7
x³ – 3x² + 3x + 7 = x³ + x² – 4x² – 4x + 7x + 7 =... View Article
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Which of the following is the 1’s complement of 10? (A) 10 (B) 01 (C) 11 (D) 00
Answer: (B) 01 1’s compliment of 1 is 0 and of 0 is 1.
What is the difference between a theorem and an axiom?
An axiom is a mathematical statement which is assumed to be true even without proof. A theorem is a mathematical... View Article
If integration of (a)^(b)(f(x))/(f(x)+f(a+b-x))dx=10, then b – a = ?
\(\begin{array}{l}\begin{array}{l} \text { Say } I=\int_{a}^{b} \frac{f(x)}{f(x)+f(a+b-x)} d x ~ ….(i) \\ Also, ~I=\int_{a}^{b} \frac{f(a+b-x)}{f(a+b-x)+f(x)} d x ~ ….(ii) \end{array}\end{array}... View Article
Estimate the sum of 3897 and 6955
The sum of 3897 and 6955 is 10852.
Find the sum of 2+4+6+……+200.
Given, 2+4+6+……+200 It is the sum of an Arithmetic Progression Sum of A.P., Sn = n/2[a + l] Here, a... View Article
In an equilateral triangle ABC, D is a point on side BC such that BD = 1/3 BC, prove that 9AD2 = 7AB2
△ABC is a an equilateral triangle AB = BC = AC = a https://cdn1.byjus.com/wp-content/uploads/2020/07/triangles-exercise-6-5-answer-15.png In △ABC, AE is a perpendicular... View Article
What is the formula of x square +y square +z square?
Answer: Need to find the formula of x2 + y2 + z2 = ? (x + y + z)2 = x2... View Article
How many face and vertices does a square have?
How many face and vertices does a square have? A square is two-dimensional shape. It has four vertices and four... View Article
Find the hcf of two coprime numbers.
Two numbers are coprimes when the highest common factor (HCF) of them is 1. Therefore, the HCF of two co... View Article
Expand( 2x+3y+2z)^2 Using suitable identity.
Given, (-2x+3y+2z)2 Using the algebraic identity; ( a + b + c )² = a² + b² + c² +... View Article
Find the value of x if x = root 6 + root 6 + root 6 + Infinity. Where x is a natural number.
Given, \(\begin{array}{l}\sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6+\ldots . . }}}}\end{array} \) Let x = \(\begin{array}{l}\sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6+\ldots . . }}}}\end{array} \) So, on squaring on both the sides:... View Article
The median of the following data is 525. Find the value of x and y, if the total frequency is 100.
Given, Class interval 0-100 100-200 200-300 300-400 400-500 500-600 600-700 700-800 800-900 900-1000 frequnecy 2 5 x 12 17 20... View Article
Evaluate sin 25 cos 65 + cos 25 sin 65 = ?
sin 25° cos 65° + cos 25° sin 65° = sin 25° cos (90° – 25°) + cos 25° sin... View Article
If the height of a person is 1.65m. Convert the meters (m) into centimeters (cm) and millimeters (mm).
Given, height of a person is 1.65m We need to conver the given height into centimeters and millimeters. 1 meter... View Article
The ratio of daily wages of two workers is 4:3 and one gets daily Rs.9 more than other. What are their daily wages?
Given, the ratio of daily wages of two workers is 4:3 Let us say, the wages of workers are 4x... View Article
a^m × a^n is equal to (a) a^m+n (b) a^m-n (c) a^mn (d) a^n-m
Answer: (a) am+n By laws of exponents: am × an = am+n
Write the equation of line parallel to x axis and distance 6 unit from below the x axis.
The equation of line parallel to x axis and distance 6 unit from below the x axis is y =... View Article
How many vertices does a sphere has (a) 0 (b) 1 (c)2
Answer: (a) 0 A sphere has zero vertices. A vertex is a point when two or more lines meet at... View Article
Find the value of ( -10 –10 ) ÷ { -10 –( -10 –10 )}
( -10 –10 ) ÷ { -10 –( -10 –10 )} = (-20) ÷ { -10 – (-20)} = (-20) ÷ {-10... View Article
