Coordinate Geometry One Mark Online Test

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

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The area of triangle formed by the points (-5,0), (0,-5) and (5,0) is

A.0 sq.units B.25 sq.units C.5 sq.units D.none of these

A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is

A.x = 10 B.y = 10 C.x = 0 D.y = 0

The straight line given by the equation x = 11 is

A.parallel to X axis B.parallel to Y axis C.passing through the origin D.passing through the point (0,11)

If (5,7), (3,p) and (6,6) are collinear, then the value of p is

A.3 B.6 C.9 D.12

The point of intersection of 3x - y = 4 and x + y = 8 is

A.(5,3) B.(2,4) C.(3,5) D.(4,4)

The slope of the line joining (12, 3), (4, a) is 1/8. The value of 'a' is

A.1 B.4 C.-5 D.2

The slope of the line which is perpendicular to a line joining the points (0,0) and (-8,8) is

A.-1 B.1 C.1/3 D.-8

If slope of the line PQ is 1/3 then slope of the perpendicular bisector of PQ is

A.3 B.-3 C.1/3 D.0

If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is

A.8x + 5y = 40 B.8x - 5y = 40 C.x = 8 D.y = 5

Q10

The equation of a line passing through the origin and perpendicular to the line 7x - 3y + 4 = 0 is

A.7x - 3y + 4 = 0 B.3x - 7y + 4 = 0 C.3x + 7y = 0 D.7x - 3y = 0

Q11

Consider four straight lines (i) l1 : y = 3/4 x + 5, (ii) l2 : y = 4/3 x - 1, (iii) l3 : y + 3/4 x = 7, (iv) l4 : x + 4/3 y = 2. Which of the following statement is true?

A.l1 and l2 are perpendicular B.l1 and l4 are parallel C.l2 and l4 are perpendicular D.l2 and l3 are parallel

Q12

A straight line has equation 8y = 4x + 21. Which of the following is true

A.The slope is 0.5 and the y intercept is 2.6 B.The slope is 5 and the y intercept is 1.6 C.The slope is 0.5 and the y intercept is 1.6 D.The slope is 5 and the y intercept is 2.6

Q13

When proving that a quadrilateral is a trapezium, it is necessary to show

A.Two sides are parallel B.Two parallel and two non-parallel sides C.Opposite sides are parallel D.All sides are of equal length

Q14

When proving that a quadrilateral is a parallelogram by using slopes you must find

A.The slopes of two sides B.The slopes of two pair of opposite sides C.The lengths of all sides D.Both the lengths and slopes of two sides

Q15

(2, 1) is the point of intersection of two lines.

A.x - y - 3 = 0; 3x - y - 7 = 0 B.x + y = 3; 3x + y = 7 C.3x + 3y = 7; x + y = 3 D.x + y - 3 = 0; 3x - y - 7 = 0

Q16

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.\(a = b\)

Q17

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.\((0, 2)\)

Q18

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.\(-\\frac{1}{\\sqrt{3}}\)

Q19

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.\(-4\)

Q20

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.\(x = 8\)

Q21

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.\(-\\frac{2}{5}\)

Q22

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.\(3x + 4y = 25\)

Q23

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

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

Q24

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.\(\\frac{2}{3}\)

Q25

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.\(x + 3y - 1 = 0\)

Q26

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.\(x + 2y = 0\)

Q27

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.\(a^2 + b^2\)

Q28

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.\((2, 4)\)

Q29

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.\(x + 3y + 2 = 0\)

Q30

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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