Section Formula

Section Formula

10th Grade

10 Qs

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Section Formula

Section Formula

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

CCSS
HSG.GPE.B.6

Standards-aligned

Created by

Abhishek Chaddha

Used 125+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The coordinates of the point which divides the line segment joining the points A (6, 3) and B (─ 4, 5) internally in the ratio 3 : 2 are :

(215, 0)\left(\frac{21}{5},\ 0\right)

(0,215)\left(0,\frac{21}{5}\right)

(2,195)\left(2,\frac{19}{5}\right)

(245,215)\left(\frac{24}{5},\frac{21}{5}\right)

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

If the mid-point of the line segment joining the points (3a, 4) and (─ 1, 2b) is (1, 2a + 3), then the values of a and b are :

13 and 53\frac{1}{3}\ and\ -\frac{5}{3}

0 and 720\ and\ -\frac{7}{2}

1 and 31\ and\ 3

23 and 16\frac{2}{3}\ and\ \frac{1}{6}

Tags

CCSS.HSG.GPE.B.6

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The coordinates of the point of intersection of the y-axis with the line segment joining the points (─ 4, 5) and

(3, ─ 7) are :

(0, 137)\left(0,\ -\frac{13}{7}\right)

(1312, 0)\left(-\frac{13}{12},\ 0\right)

(137, 0)\left(-\frac{13}{7},\ 0\right)

(0, 17)\left(0,\ -\frac{1}{7}\right)

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

In what ratio does the x-axis divide the line segment joining the points (─ 4, 3) and ( 8, ─ 6) ?

2 : 12\ :\ 1

1 : 21\ :\ 2

3 : 13\ :\ 1

1 : 31\ :\ 3

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

If the three consecutive vertices of a parallelogram ABCD are A (─ 1, 0), B (3, 1) and C (2, 2), then the coordinates of the fourth vertex D are :

(2, 1)\left(2,\ 1\right)

(0, 1)\left(0,\ -1\right)

(4, 3)\left(4,\ 3\right)

(2, 1)\left(-2,\ 1\right)

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

If the coordinates of one end of a diameter of a circle are

(4, ─ 1) and the coordinates of the centre of the circle are (1, ─ 3), then the coordinates of the other end of the diameter are :

(2, 7)\left(2,\ -7\right)

(2, 5)\left(-2,\ -5\right)

(52, 2)\left(\frac{5}{2},\ -2\right)

(5, 4)\left(5,\ -4\right)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the three vertices of a triangle are (5, ─ 1), (─ 3, ─ 2) and (─ 1, 8), then the coordinates of its centroid are :

(3, 113)\left(3,\ \frac{11}{3}\right)

(13, 53)\left(\frac{1}{3},\ \frac{5}{3}\right)

(1, 5)\left(1,\ 5\right)

(3, 73)\left(3,\ -\frac{7}{3}\right)

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