Test: Section Formula - Class 10 MCQ

# Test: Section Formula - Class 10 MCQ

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## 15 Questions MCQ Test Online MCQ Tests for Class 10 - Test: Section Formula

Test: Section Formula for Class 10 2024 is part of Online MCQ Tests for Class 10 preparation. The Test: Section Formula questions and answers have been prepared according to the Class 10 exam syllabus.The Test: Section Formula MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Section Formula below.
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Test: Section Formula - Question 1

### The coordinates of a point A, where AB is diameter of a circle whose centre is (2,-3) and B is (1, 4), are:​

Detailed Solution for Test: Section Formula - Question 1

Let the co-ordinates of point A is (x, y)

Now, AB is the diameter of circle. So, mid-point of AB is the center of the circle.

Given, center O(2,-3) and B is (1,4).

So, by using mid-point formula, we get:

Test: Section Formula - Question 2

### If  is the mid-point of the line-segment joining the points A (-6, 5) and B (-2,3) then the value of a is

Detailed Solution for Test: Section Formula - Question 2

Applying distance formula

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Test: Section Formula - Question 3

### The ratio in which the point P(-3,y) divides the line segment joining the points A(-5,-4) and B(-2,3) is​

Test: Section Formula - Question 4

The coordinates of the point which divide the line segment joining P (-2, 2) and Q (2, 8) into two equal parts are:​

Detailed Solution for Test: Section Formula - Question 4

The midpoint can be found with the formula ((x1 + x2)/2, (y1 + y2)/2)

Test: Section Formula - Question 5

The mid-point of the line segment joining P(-2,8) and Q(-6,-4) is

Detailed Solution for Test: Section Formula - Question 5

We know that

Mid-point of the line segment joining the points A(x₁, y₁) and B(x₂, y₂) is

P (x, y) = (x₁ + x₂)/ 2, (y₁ + y₂)/ 2

The points given are

A (-2, 8) and B(-6, -4)

Substituting it in the formula

P (x, y) = (-2 + (-6))/2, (8 + (-4))/2

By further calculation

P (x, y) = (-2 - 6)/2, (8 - 4)/2

P (x, y) = -8/2, 4/2

So we get

P (x, y) = (-4, 2)

Therefore, the mid-point of the line segment is (-4, 2).

Test: Section Formula - Question 6

Determine the ratio in which the line 2x+y-4 = 0 divides the line segment joining the points A (2,-2) and B (3, 7)​

Test: Section Formula - Question 7

The mid point of the line segment joining A(2a,4) and B(-2,3b) is M (1,2a + 1). The values of a and b are​

Test: Section Formula - Question 8

The ratio in which the x-axis divides the segment joining A(3,6) and B(12,-3) is​

Test: Section Formula - Question 9

The ratio in which the line 2x+y-4 = 0 divides the line segment joining A(2,-2) and B(3,7) is​

Test: Section Formula - Question 10

If A (1,2) , B (4,y), c (x,6) and D (3,5) are the vertices of a parallelogram taken in order then the values of x and y are:​

Test: Section Formula - Question 11

The ratio in which the line segment joining A(3,4) and B(-2,1) is divided by the y-axis is

Test: Section Formula - Question 12

The line segment joining A(-2,9), and B(6,3) is a diameter of a circle with centre C. The co-ordinates of C are​

Test: Section Formula - Question 13

The coordinates of the point which divides the line segment joining points A(5,-2) and B(9,6) in the ratio 3:1 are​

Test: Section Formula - Question 14

The ratio in which (4,5) divides the line segment joining the points (2,3) and (7,8) is​

Test: Section Formula - Question 15

Origin divides the join of points (1,1) and (2,2) externally in the ratio​

Detailed Solution for Test: Section Formula - Question 15

We have external section formula as

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