MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Straight Line>Critical Thinking>Q 59

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Equation of a straight line on which length of perpendicular from the origin is four units and the line makes an angle of $120 °$ with the $X$ -axis, is

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Important Questions on Straight Line

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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>Critical Thinking>Q 61

If the equation

y = m x + c

and

x \cos α + y \sin α = p

represents the same straight line, then

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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>Critical Thinking>Q 62

The ratio in which the line

3 x + 4 y + 2 = 0

, divides the distance between

3 x + 4 y + 5 = 0

and

3 x + 4 y - 5 = 0,

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>Critical Thinking>Q 63

The diagonals of the parallelogram whose sides are

l x + m y + n = 0, l x + m y + n^{'} = 0, m x + l y + n = 0, m x + l y + n^{'} = 0

include an angle

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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>Critical Thinking>Q 64

The ends of the base of an isosceles triangle are at

(2 a, 0)

and

(0, a)

. The equation of one side is

x = 2 a

. The equation of the other side 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>Critical Thinking>Q 65

Equation of the line passing through the point

(- 4, 3)

and the portion of the line intercepted between the axes which is divided internally in the ratio

5 : 3

by this point, 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>Critical Thinking>Q 66

If the lines

a x + 2 y + 1 = 0, b x + 3 y + 1 = 0

and

c x + 4 y + 1 = 0

are concurrent, then

a, b, c

are in

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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>Critical Thinking>Q 67

The equations

(b - c) x + (c - a) y + (a - b) = 0

and

(b^{3} - c^{3}) x + (c^{3} - a^{3}) y + a^{3} - b^{3} = 0

where,

a \neq b \neq c

will represent the same line, if

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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>Critical Thinking>Q 68

If

2 p

is the length of perpendicular from the origin to the line

\frac{x}{a} + \frac{y}{b} = 1,

then

a^{2}, 8 p^{2}, b^{2}

are in