CBSE Class 10 Mathematics Basic 2026: question 6
Set in the CBSE Class 10 board exam of 2026, paper 430/4/1, section A, question 6, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q6 · 1 mark · MCQPolynomials
The graph of polynomial is shown here. Number of zeroes of polynomial is :
- (A)
- (B)
- (C)
- (D)infinitely many
Figure in the paper: Cartesian graph with axes XX′ (horizontal) and YY′ (vertical) meeting at origin 0; a horizontal line labelled p(x) = k drawn parallel to the x-axis, above it, not meeting the x-axis. See it in the official paper.
Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/4/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
Where do zeroes appear on a graph?
Hint 2
Does the horizontal line ever touch the x-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.
Zeroes are the points where the graph meets the x-axis.
- 1 mark
The line is parallel to the x-axis and lies above it, so it never meets the x-axis. There are 0 zeroes, option (A).
Answer: 0, option (A)
Where the marks are
- Notes that the graph does not cut the x-axis (1 mark)
Revise the chapter
- Chapter: Polynomials (notes, formulas, where marks are lost and every past question)
More questions from Polynomials
- 2023 board paper, set 430/2/1 (Basic), Q12 · 1 markGraph of a polynomial p(x) is given in the figure. The number of zeroes of p(x) is:
- 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
- 2026 board paper, set 430/4/1 (Basic), Q22(a) · 2 marksIf α, β are the zeroes of polynomial p(x) = 6x² – 5x – 3, then find the value of (1)/(α) + (1)/(β).
The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.