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By how much does 1 exceed 2x – 3y – 4?

2x − 3y − 4 − 1 = 2x − 3y − 5 1 exceeds 2x − 3y − 4... View Article

Derive the equation for the parabola y^2 = 4ax in standard form.

Take a point P (x, y) on the parabola such that, PE = PB … (i) By distance formula, PF... View Article

How to solve the square root of 576?

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 Taking square root... View Article

Write all the prime numbers less than 10.

The prime numbers less than 10 are 2, 3, 5, 7.

What is the order of convergence of Newton Raphson Method?

Newton Raphson method has a second order of quadratic convergence.

Represent -7/2 on a number line.

The representation of -7/2 on a number line is as follows

Find two rational numbers between 1/4 and 3/4.

The rational numbers between 1/4 and 3/4 are given below. \(\begin{array}{l}=\frac{1}{2}\left(\frac{1}{4}+\frac{3}{4}\right)=\frac{1}{2}(1)=\frac{1}{2}\\ \text { Another rational number between } \frac{1}{2} \... View Article

Find three rational numbers between 4 and 5.

The three rational numbers between 4 and 5 are \(\begin{array}{l}\mathbf{x}=\frac{1}{2}(4+5) \Rightarrow \mathbf{x}=\frac{1}{2} \times 9\\ \Rightarrow \mathbf{x}=\frac{9}{2}\\ \mathbf{y}=\frac{1}{2}\left(4+\frac{9}{2}\right)\\ \Rightarrow \mathrm{y}=\frac{1}{2}\left(\frac{8+9}{2}\right) \Rightarrow... View Article

Find three rational numbers between 3 / 5 and ⅞.

(3 / 5) * (8 / 8) = 24 / 40 (7 / 8) * (5 / 5) = 35... View Article

If (2.3)^x = (0.23)^y = 1000 then find the value of (1 / x) – (1 / y).

(2.3)x = (0.23)y = 1000 => log10 (2.3)x = log10 (0.23)y = log10 (103) => x log10 (2.3) = y log10... View Article

Solve : – (3x – 2)/4 – (2x+3)/3 = 2/3 – x

(3x – 2)/4 – (2x+3)/3 = 2/3 – x \(\begin{array}{l}=\frac{3 x-2}{4}-\frac{2 x+3}{3}=\frac{2}{3}-\frac{x}{1} \\ =\frac{3(3 x-2)-4(2 x+3)}{12}=\frac{2 \times 1}{3 \times 1}-\frac{x... View Article

Define feasible region.

A feasible region is one that satisfies all the inequalities of a linear programming problem. It is based on the... View Article

Which term of the A.P. 3, 15, 27, 39, … will be 132 more than its 54th term?

a = 3 n = 54 d = 12 a + (n – 1) d = 3 + (54 –... View Article

Select three balls and put into a circle, total sum of them must be 30. Only 2% people can solve this Question. Are you among of them 2% people?

Turn 9 to make a number 6. Obtain 6 from 1st column, Obtain 11 from the 2nd column and take... View Article

Find the square root of 99999 by the long division method.

316 —————- 3 99999 3 9 ——————— 61 ... View Article

How many tens are there in one lakh?

1 lakh = 100000 = 10 × 10000 = 10×ten thousand 1 lakh = 10 ten thousand

A, B and C can solve 50%, 60% and 70% of the sums from a book. If one sum from that book is given them to solve then probability that the sum will be solved is _____

P(A) = (50 / 100) = (5 / 10) P(B) = (60 / 100) = (6 / 10) and P(C)... View Article

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