Coordinate Geometry Additional One Mark Online Test

Coordinate Geometry Additional One Mark Online Test (10th Standard Mathematics)

Pick how many questions you want and set a time limit, then start. You'll get your score at the end with the correct answer and an explanation for every question. Free, in Tamil and English — 15 questions available.

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If the points \((0, 0)\), \((a, 0)\) and \((0, b)\) are collinear, then which of the following must be true?

A.\(a + b = 0\) B.\(ab = 0\) C.\(a^2 + b^2 = 0\) D.\(a = b\)

The centroid of a triangle with vertices \((1, -2)\), \((3, 6)\), and \((-4, 5)\) is given by which point?

A.\((0, 3)\) B.\((0, 9)\) C.\((1, 3)\) D.\((0, 2)\)

If the inclination of a straight line is \(150^\circ\), then what is its slope?

A.\(\\sqrt{3}\) B.\(-\\sqrt{3}\) C.\(\\frac{1}{\\sqrt{3}}\) D.\(-\\frac{1}{\\sqrt{3}}\)

If a line passing through the points \((a, 3)\) and \((4, 7)\) is perpendicular to a line with slope \(2\), then what is the value of \(a\)?

A.\(12\) B.\(-12\) C.\(6\) D.\(-4\)

What is the equation of the straight line passing through the point \((-5, 8)\) and parallel to the Y-axis?

A.\(y = 8\) B.\(x = -5\) C.\(y = -5\) D.\(x = 8\)

Find the slope of the straight line given by the equation \(5x + 2y - 9 = 0\).

A.\(\\frac{5}{2}\) B.\(-\\frac{5}{2}\) C.\(\\frac{2}{5}\) D.\(-\\frac{2}{5}\)

A straight line passes through the point \((4, 3)\) and has equal intercepts on the coordinate axes. What is the equation of this line?

A.\(x + y = 7\) B.\(x - y = 1\) C.\(x + y = 1\) D.\(3x + 4y = 25\)

What is the Y-intercept of the straight line whose equation is \(3x - 4y + 12 = 0\)?

A.\(-3\) B.\(3\) C.\(-4\) D.\(4\)

Find the slope of the line perpendicular to the line segment joining \((2, 5)\) and \((-4, 9)\).

A.\(-\\frac{2}{3}\) B.\(\\frac{3}{2}\) C.\(-\\frac{3}{2}\) D.\(\\frac{2}{3}\)

Q10

Which of the following lines is parallel to the line \(3x - y + 5 = 0\)?

A.\(3x + y - 2 = 0\) B.\(x - 3y + 4 = 0\) C.\(6x - 2y + 7 = 0\) D.\(x + 3y - 1 = 0\)

Q11

What is the equation of the line passing through \((0, 0)\) and perpendicular to the line \(x + 2y - 3 = 0\)?

A.\(2x - y = 0\) B.\(x - 2y = 0\) C.\(2x + y = 0\) D.\(x + 2y = 0\)

Q12

If the vertices of a quadrilateral are \((0, 0)\), \((a, 0)\), \((a, b)\), and \((0, b)\) in order, where \(a > 0\) and \(b > 0\), then what is the area of this quadrilateral?

A.\(ab\) B.\(\\frac{1}{2}ab\) C.\(2ab\) D.\(a^2 + b^2\)

Q13

At what point do the straight lines \(x - y + 2 = 0\) and \(2x + y - 5 = 0\) intersect?

A.\((1, 3)\) B.\((3, 1)\) C.\((-1, 1)\) D.\((2, 4)\)

Q14

What is the equation of the straight line passing through the points \((1, -1)\) and \((3, 5)\)?

A.\(3x - y - 4 = 0\) B.\(3x + y - 2 = 0\) C.\(x - 3y - 4 = 0\) D.\(x + 3y + 2 = 0\)

Q15

If the line joining the points \((2, k)\) and \((k, 11)\) has a slope of \(2\), then what is the value of \(k\)?

A.\(3\) B.\(4\) C.\(5\) D.\(6\)

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About this Coordinate Geometry test

This free online practice test covers Coordinate Geometry from the 10th Standard Mathematics (Samacheer Kalvi) syllabus. Choose the number of questions and an optional time limit, then answer and submit — everything is checked in your browser, with the correct answers and a worked explanation shown at the end. For the full solutions to every question in this set, see the solved MCQs page.

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