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Test: Straight Lines- Case Based Type Questions - Commerce MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 11 - Test: Straight Lines- Case Based Type Questions

Test: Straight Lines- Case Based Type Questions for Commerce 2024 is part of Mathematics (Maths) Class 11 preparation. The Test: Straight Lines- Case Based Type Questions questions and answers have been prepared according to the Commerce exam syllabus.The Test: Straight Lines- Case Based Type Questions MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Straight Lines- Case Based Type Questions below.
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Test: Straight Lines- Case Based Type Questions - Question 1

A parking lot in an IT company is triangular shaped with two of its vertices at B(–2, 0) and C(1, 12). The third vertex A is at the midpoint of the line joining the points (1, 1) and (3, 11).

Q. Find the coordinates of A.

Detailed Solution for Test: Straight Lines- Case Based Type Questions - Question 1
A is the midpoint of line segment joining (1, 1) and (3, 11). By midpoint formula,

= (2, 6)

Test: Straight Lines- Case Based Type Questions - Question 2

A parking lot in an IT company is triangular shaped with two of its vertices at B(–2, 0) and C(1, 12). The third vertex A is at the midpoint of the line joining the points (1, 1) and (3, 11).

Q. Find the equation of line parallel to BC and passing through the vertex A.

Detailed Solution for Test: Straight Lines- Case Based Type Questions - Question 2
Equation of line parallel to 4x – y + 8

= 0 and passing through A(2, 6) is:

y – 6 = 4(x – 2)

⇒ 4x – y – 2 = 0

⇒ 4x – y = 2

Test: Straight Lines- Case Based Type Questions - Question 3

A parking lot in an IT company is triangular shaped with two of its vertices at B(–2, 0) and C(1, 12). The third vertex A is at the midpoint of the line joining the points (1, 1) and (3, 11).

Q. Find the equation of line that passes through the points B(–2, 0) and C(1, 12).

Detailed Solution for Test: Straight Lines- Case Based Type Questions - Question 3
Equation of line through B(–2, 0) and C(1, 12) is given by

4x – y + 8 = 0

Test: Straight Lines- Case Based Type Questions - Question 4

A parking lot in an IT company is triangular shaped with two of its vertices at B(–2, 0) and C(1, 12). The third vertex A is at the midpoint of the line joining the points (1, 1) and (3, 11).

Q. Find the equation of line perpendicular to BC and passing through the vertex A.

Detailed Solution for Test: Straight Lines- Case Based Type Questions - Question 4
Equation of line perpendicular to 4x – y + 8 = 0 and passing through A(2, 6)

y – 6 = -1/4 (x - 2)

⇒ 4y – 24= –x + 2

⇒ x + 4y = 26

Test: Straight Lines- Case Based Type Questions - Question 5

A parking lot in an IT company is triangular shaped with two of its vertices at B(–2, 0) and C(1, 12). The third vertex A is at the midpoint of the line joining the points (1, 1) and (3, 11).

Q. The line obtained in (iv) divides the parking lot in two unequal areas. Volunteers are asked to put posters on 'Child Labour' and 'Education for All' in these two areas. Suggest which posters should be put up in which area of the parking lot.

Detailed Solution for Test: Straight Lines- Case Based Type Questions - Question 5
Both are socially relevant topics and are like the two sides of the same coin. Both the posters should be treated equally.
Test: Straight Lines- Case Based Type Questions - Question 6

A line 'l' passes through the points A and B in the coordinate axes as shown in the figure.

Q. The co - ordinate of A are ................

Detailed Solution for Test: Straight Lines- Case Based Type Questions - Question 6
The co - ordinate of A are (6, 0).
Test: Straight Lines- Case Based Type Questions - Question 7

A line 'l' passes through the points A and B in the coordinate axes as shown in the figure.

Q. Equation of AB is ................

Detailed Solution for Test: Straight Lines- Case Based Type Questions - Question 7
Equation of AB is x/6 + y/4 = 1

⇒ 2x + 3y = 12

Test: Straight Lines- Case Based Type Questions - Question 8

A line 'l' passes through the points A and B in the coordinate axes as shown in the figure.

Q. The length of AB is ............. units.

Detailed Solution for Test: Straight Lines- Case Based Type Questions - Question 8
A = (6, 0), B = (0, 4)

Test: Straight Lines- Case Based Type Questions - Question 9

A line 'l' passes through the points A and B in the coordinate axes as shown in the figure.

Q. Length of altitude from O to AB is ......... units.

Detailed Solution for Test: Straight Lines- Case Based Type Questions - Question 9
Length of altitude

Test: Straight Lines- Case Based Type Questions - Question 10

A line 'l' passes through the points A and B in the coordinate axes as shown in the figure.

Q. Circumcenter of ΔAOB is at ...............

Detailed Solution for Test: Straight Lines- Case Based Type Questions - Question 10
ΔAOB is a right angled triangle. Circumcenter of a right angled triangle is the midpoint of the hypotenuse.

Circumcenter of ΔAOB = midpoint of AB

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