CBSE Class 10 Mathematics Standard sample paper 2023-24: question 2
From the official CBSE sample question paper for 2023-24, section A, question 2, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q2 · 1 mark · MCQPolynomials
The given linear polynomial has
- (A)2 zeros
- (B)1 zero and the zero is '3'
- (C)1 zero and the zero is '4'
- (D)No zero
Figure in the paper: Graph of a straight line on a coordinate grid (x from -4 to 5, y from -2 to 5). The line passes through the labelled points (0, 4) on the y-axis and (3, 0) on the x-axis, and is labelled . See it in the official paper.
Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2023-24.
Hints
Open one hint at a time and try again before the next.
Hint 1
Where does a graph show the zeros of a polynomial?
Hint 2
Look only at where the line cuts the x-axis, not the y-axis.
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
A zero of is the x-coordinate of the point where the graph meets the x-axis.
- 1 mark
The line meets the x-axis only at . So there is exactly 1 zero, and it is . The point is the y-intercept, not a zero. Option (B).
Answer: 1 zero, which is 3, option (B)
Where the marks are
- Identifies the single x-intercept as the zero, option (B) (1 mark)
Revise the chapter
- Chapter: Polynomials (notes, formulas, where marks are lost and every past question)
- Topic: Forming a Quadratic Polynomial from Its Zeros
More questions from Polynomials
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- 2023 board paper, set 30/1/1 (Standard), Q1 · 1 markThe graph of y = p(x) is given, for a polynomial p(x). The number of zeroes of p(x) from the graph is
- 2023 board paper, set 30/1/1 (Standard), Q7 · 1 markIf α, β are the zeroes of a polynomial p(x) = x² + x - 1, then (1)/(α) + (1)/(β) equals to
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