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UP Board Class 10 Algebra: Simultaneous Linear Equations & Quadratics — practice questions — page 2

Explore 51 free Algebra: Simultaneous Linear Equations & Quadratics questions in UP Board 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 31–51 of 51.

The point (0, -5) lies onRead the answer and worked solution →The mid-point of the segment joining (2, 3) and (6, 7) isRead the answer and worked solution →If P(2, 3) is shifted 4 units right and 1 unit down, the new co-ordinates areRead the answer and worked solution →The point P(-3, -4) lies inRead the answer and worked solution →The list $-1.0, -1.5, -2.0, -2.5, \ldots$ is an AP. What is its common difference?Read the answer and worked solution →In a right triangle with legs a and b, the altitude h drawn to the hypotenuse c satisfiesRead the answer and worked solution →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 →Match each similarity ideaRead the answer and worked solution →If sin θ = 1/2, then θ equals:Read 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

The point (0, -5) lies on

  1. The positive x-axis
  2. The positive y-axis
  3. The negative x-axis
  4. The negative y-axis
Show answer and solution

Correct answer: D. The negative y-axis

1. x-coordinate is 0, so the point is on the y-axis. 2. y = -5 is negative, so it is below the origin. 3. Hence it lies on the negative y-axis. 4. So option A is correct. _Source: Selina Concise Mathematics Class 9, Ch 26 Co-ordinate Geometry (Mistral OCR'd PDF), section on axes_

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The mid-point of the segment joining (2, 3) and (6, 7) is

  1. (4, 5)
  2. (8, 10)
  3. (3, 4)
  4. (2, 7)
Show answer and solution

Correct answer: A. (4, 5)

1. Mid-point formula: ((x1 + x2)/2, (y1 + y2)/2). 2. = ((2 + 6)/2, (3 + 7)/2). 3. = (4, 5). 4. Hence option A. _Source: Selina Concise Mathematics Class 9, Ch 26 Co-ordinate Geometry (Mistral OCR'd PDF), section on mid-point formula_

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If P(2, 3) is shifted 4 units right and 1 unit down, the new co-ordinates are

  1. (6, 2)
  2. (2, 2)
  3. (6, 4)
  4. (-2, 2)
Show answer and solution

Correct answer: A. (6, 2)

1. Move right by 4 adds 4 to x: 2 + 4 = 6. 2. Move down by 1 subtracts 1 from y: 3 - 1 = 2. 3. So new co-ordinates are (6, 2). 4. Hence option A is correct. _Source: Selina Concise Mathematics Class 9, Ch 26 Co-ordinate Geometry (Mistral OCR'd PDF), section on translation_

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More Mathematics topics

Arithmetic ProgressionReal Numbers and PolynomialsStatistics and ProbabilityMensuration: Surface Areas & VolumesIntroduction to TrigonometryTriangles and CirclesCoordinate GeometryQuadratic Equations