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Standard VIII

Mathematics

Variable and Constants

Find the numb...

Question

Find the number of variables in the equation x + xy = 15. $[1]$
(a) 0 (b) 1 (c) 2 (d) 3

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Solution

There are two variables. One is x and other is y.

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Similar questions

Q. Choose the correct answers for the following questions.
(1) Which one is the quadratic equation ?

(A)

\frac{5}{x} - 3 = x^{2}

(B) x(x + 5) = 2

(D)

\frac{1}{x^{2}} (x + 2) = x

(2) Out of the following equations which one is not a quadratic equation ?

(A) x² + 4x = 11 + x²

(B) x² = 4x

(D) 2x – x² = x² + 5

(3) The roots of x² + kx + k = 0 are real and equal, find k.

\sqrt{2} x^{2} - 5 x + \sqrt{2} = 0

find the value of the discriminant.

(A) –5

(B) 17

(C)

\sqrt{2}

(D)

2 \sqrt{2} - 5

(5) Which of the following quadratic equations has roots 3,5 ?

(A) x² – 15x + 8 = 0	(B) x² – 8x + 15 = 0
(C) x² + 3x + 5 = 0	(D) x² + 8x – 15 = 0

(6) Out of the following equations, find the equation having the sum of its roots –5.

(A) 3x² – 15x + 3 = 0	(B) x² – 5x + 3 = 0
(C) x² + 3x – 5 = 0	(D) 3x² + 15x + 3 = 0

(7)

\sqrt{5} m^{2} - \sqrt{5} m + \sqrt{5} = 0

which of the following statement is true for this given equation ?

(A) Real and uneual roots	(B) Real and equal roots
(C) Roots are not real	(D) Three roots.

(8) One of the roots of equation x² + mx – 5 = 0 is 2; find m.

(A) –2

(B)

- \frac{1}{2}

(C)

\frac{1}{2}

(D) 2

$^{Which of the following is a linear equation in one variable ?} (A) {(x - 1)}^{2} = 1 (B) 2 (x + 3) = - 8 (C) 3 (x^{2} + 1) = 0 (D) 3 x - 5$

Find the equation of the tangents drawn form the point (5,3) to the hyperbola $\frac{x^{2}}{25} - \frac{y^{2}}{9} = 1.$

1. The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent the statement. Also state whether for any solutions of this equation can X and Y take negative values.

2. Write the linear equation in two variables in the form as+by+c=0 by using the given values of a, b and c.

i. a=0, b=-3, c=1/6

ii. a=1/2, b=-1/3, c=1/6

Q. The equation

x = 7

, in two variables can be written as ___.

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Find the number of variables in the equation x + xy = 15. [1] (a) 0 (b) 1 (c) 2 (d) 3

There are two variables. One is x and other is y.

Find the number of variables in the equation x + xy = 15. $[1]$
(a) 0 (b) 1 (c) 2 (d) 3