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The equation of the base of an equilateral triangle is $x + y = 2$ and the vertex is $(2, - 1)$ . The length of the side of the triangle is

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Important Questions on Straight Line

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MHT-CET

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Straight Line>Competitive Thinking>Q 78

If the equation of base of an equilateral triangle is

2 x - y = 1

and the vertex is

(- 1, 2)

, then the length of the side of the triangle is?

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Straight Line>Competitive Thinking>Q 79

P

is a point on the line

y + 2 x = 1

Q

and

R

are two points on the line

3 y + 6 x = 6

such that triangle

P Q R

is an equilateral triangle. The length of the side of the triangle is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Straight Line>Competitive Thinking>Q 80

The equation of the line passing through the point of intersection of the lines

2 x + y - 4 = 0

x - 3 y + 5 = 0

and lying at a distance of

\sqrt{5}

units from the origin, is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Straight Line>Competitive Thinking>Q 81

A straight line makes an intercept on the

Y

-axis twice as long as that on

X

-axis and is at a unit distance from the origin. Then the line is represented by the equations

HARD

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Straight Line>Competitive Thinking>Q 82

The vertices of a triangle $O B C$ are $(0, 0), (- 3, - 1)$ and $(- 1, - 3)$ respectively. Then the equation of line parallel to $B C$ which is at $\frac{1}{2}$ unit distant from origin and cuts $O B$ and $O C$ , is

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MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Straight Line>Competitive Thinking>Q 83

The equation of one of the lines parallel to

4 x - 3 y = 5

and at a unit distance from the point

(- 1, - 4)

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Straight Line>Competitive Thinking>Q 84

The angular points of a triangle are

A (- 1, - 7), B (5, 1)

and

C (1, 4)

. The equation of the bisector of the

∠ A B C

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Straight Line>Competitive Thinking>Q 85

Number of points having distance

\sqrt{5}

from the straight line

x - 2 y + 1 = 0

and a distance

\sqrt{13}

from the line

2 x + 3 y - 1 = 0

The equation of the base of an equilateral triangle is x+y=2 and the vertex is 2,-1. The length of the side of the triangle is

Important Questions on Straight Line

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The equation of the base of an equilateral triangle is $x + y = 2$ and the vertex is $(2, - 1)$ . The length of the side of the triangle is