Test Details

Pair of Linear Equations in Two Variables, Polynomials and 1 other Topics

Mcqs

Jan 27, 8:00 PM

60 minutes

Jan 31, 9:00 PM

60.0 marks

MCQ

30 questions

SOFI, HILAL AHMAD

teaching high school math from more than 8 years

Class Details

Math

Class 10th

Math

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Question Text

Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19a57273b230584979925.png' /> In the image above, the graph of $y=p\left(x\right)$, where $p\left(x\right)$ is a polynomial. Here, find the number of zeroes of $p\left(x\right)$

Question 2 :
Find a quadratic polynomial, the sum and product of whose zeroes are 0 and $\sqrt {5}$, respectively.

Question 3 :
Find a quadratic polynomial, the sum and product of whose zeroes are $-\frac{1}{4}$ and $\frac{1}{4}$ , respectively.

Question 5 :
If the zeroes of the quadratic polynomial $x^2+\left(a+1\right)x+b$ are 2 and -3, then:

Question 8 :
State true or false: If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms.

Question 9 :
The zeroes of $3x^4+6x^3–2x^2–10x–5$ are $\sqrt{\frac{5}{3}}$, $-\sqrt{\frac{5}{3}}$, -1 and -1. Is it true or false?

Question 10 :
State true or false: The zeroes of a polynomial p(x) are precisely the x-coordinates of the points where the graph of y = p(x) intersects the x-axis.

Question 11 :
How is 140 expressed as a product of its prime factors?

Question 12 :
What are the LCM and HCF (by prime factorisation method) of 6, 72 and 120?

Question 13 :
The rational number $\frac{257}{5000}$ in the form $2^m × 5^n$ , where m, n are non-negative integers. Find the value of n.

Question 14 :
State true or false: The sum or difference of a rational and an irrational number is irrational.

Question 15 :
The sum or difference of a rational and an irrational number is _____________.

Question 17 :
The square of any positive integer cannot be of the form 5q + 2 or 5q + 3 for any integer q. Is it true?

Question 18 :
How is 3825 expressed as a product of its prime factors?

Question 20 :
Without actually performing the long division, state whether $\frac{77}{210}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Question 21 :
Romila went to a stationery shop and purchased 2 pencils and 3 erasers for Rs. 9. Her friend Sonali saw the new variety of pencils and erasers with Romila, and she also bought 4 pencils and 6 erasers of the same kind for Rs. 18. Which of these represent this situation algebraically ?

Question 22 :
Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” Which of these represent this situation algebraically?

Question 23 :
A fraction becomes $\frac{9}{11}$, if 2 is added to both the numerator and the denominator.If, 3 is added to both the numerator and the denominator it becomes $\frac{5}{6}$. Find the fraction.

Question 24 :
Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed are parallel lines.

Question 25 :
Solve the following pair of linear equations: 21x + 47y = 110 and 47x + 21y = 162.

Question 26 :
If the lines are represented by the equation $a_1x + b_1y + c_1 =0$ and $a_2x + b_2y + c_2 =0$, then the lines are parallel when _____________.

Question 27 :
Use elimination method to find all possible solutions of the following pair of linear equations :$2x + 3y =8 , 4x + 6y =7$

Question 28 :
State whether the following pair of linear equations has unique solution, no solution, or infinitely many solutions : $2x + y = 5 ; 3x + 2y = 8$

Question 29 :
A pair of linear equations is ______ if it has a unique solution.

Question 30 :
Solve the following pair of linear equations by the substitution method : $x + y = 14 ; x - y = 4$

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