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Kerala SSLC (Class 10) Algebra: Simultaneous Linear Equations & Quadratics — practice questions — page 2

Explore 45 free Algebra: Simultaneous Linear Equations & Quadratics questions in Kerala SSLC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Algebra: Simultaneous Linear Equations & Quadratics questions and exercises with answers

Showing questions 31–45 of 45.

If an AP has first term $a=6$ and common difference $d=-3$, which of the following is the correct AP?Read the answer and worked solution →Point (3, k) is the midpoint of segment joining (1, 4) and (5, 6). Find k.Read the answer and worked solution →The common difference of the AP 3, 1, −1, −3, … is:Read the answer and worked solution →Which of these is NOT an AP?Read the answer and worked solution →Find the distance of (3, 4) from the origin.Read the answer and worked solution →For ax² + bx + c, the sum of roots equals:Read the answer and worked solution →A polynomial of degree 2 is called a:Read the answer and worked solution →In triangle ABC right-angled at B, BD is perpendicular to AC. If AB = 5 cm and BC = 12 cm, then BD equalsRead the answer and worked solution →The diagonals of a rhombus are 16 cm and 30 cm. The length of each side isRead the answer and worked solution →The altitude AD of an equilateral triangle ABC of side length a isRead the answer and worked solution →If sin θ = 1/2, then θ equals:Read the answer and worked solution →CLASS10 · Mathematics · Standard Angle ValuesRead the answer and worked solution →Two consecutive integers 11 and 13 are the central terms of an even-n sorted list. The median is:Read the answer and worked solution →In triangle ABC, points P and Q are on AB and AC such that PQ is parallel to BC. If AP = x, PB = 6, AQ = 4, QC = 9, then x equalsRead the answer and worked solution →If a point is reflected in the y-axis, the new co-ordinates of (a, b) becomeRead the answer and worked solution →

Worked practice questions

If an AP has first term $a=6$ and common difference $d=-3$, which of the following is the correct AP?

  1. $6, 9, 12, 15, \ldots$
  2. $6, 3, 0, -3, \ldots$
  3. $6, -3, -6, -9, \ldots$
  4. $6, 3, 1, -3, \ldots$
Show answer and solution

Correct answer: B. $6, 3, 0, -3, \ldots$

Starting from 6 and adding $-3$ repeatedly gives $6, 3, 0, -3, \ldots$. **Option A uses $d=+3$, while the others do not maintain a constant difference of $-3$.**

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Point (3, k) is the midpoint of segment joining (1, 4) and (5, 6). Find k.

  1. 5
  2. 7
  3. 6
  4. 4
Show answer and solution

Correct answer: A. 5

Midpoint y-coordinate: (4 + 6)/2 = 5. So k = 5.

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The common difference of the AP 3, 1, −1, −3, … is:

  1. −1
  2. −2
  3. 2
  4. −3
Show answer and solution

Correct answer: B. −2

1−3 = −2, so d = −2.

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More Mathematics topics

Real Numbers and PolynomialsMensuration: Surface Areas & VolumesStatistics and ProbabilityArithmetic ProgressionQuadratic EquationsIntroduction to TrigonometryTriangles and CirclesAlgebra: Equations, Inequations & Matrices