Class 11 Math - Straight Lines - MERIT YARD
Class 11 Math - Straight Lines - MERIT YARD
1 / 40What is the standard slope of the
\( x \)-axis?
A) \( 1 \)
B) \( \infty \)
C) \( 0 \)
D) \( -1 \)
2 / 40What is the standard slope of the
\( y \)-axis?
A) Not defined
B) \( 0 \)
C) \( 1 \)
D) \( -1 \)
3 / 40The slope \( m \) of a line passing through
\( (x_1, y_1) \) and \( (x_2, y_2) \) is:
A) \( \frac{x_2 - x_1}{y_2 - y_1} \)
B) \( x_2 y_1 - x_1 y_2 \)
C) \( y_2 + y_1 \)
D) \( \frac{y_2 - y_1}{x_2 - x_1} \)
4 / 40The slope of any line completely parallel to the
\( x \)-axis is:
A) \( 1 \)
B) \( 0 \)
C) \( -1 \)
D) Not defined
5 / 40The slope of any line completely parallel to the
\( y \)-axis is:
A) \( 0 \)
B) Not defined
C) \( 1 \)
D) \( -1 \)
6 / 40If a line makes an angle of \( 45^\circ \) with the positive \( x \)-axis, its slope is:
A) \( 0 \)
B) \( -1 \)
C) \( 1 \)
D) \( \infty \)
7 / 40Two non-vertical lines with slopes \( m_1 \) and \( m_2 \) are strictly parallel if:
A) \( m_1 = m_2 \)
B) \( m_1 m_2 = 1 \)
C) \( m_1 m_2 = -1 \)
D) \( m_1 + m_2 = 0 \)
8 / 40Two non-vertical lines with slopes \( m_1 \) and \( m_2 \) are strictly perpendicular if:
A) \( m_1 = m_2 \)
B) \( m_1 m_2 = 1 \)
C) \( m_1 + m_2 = 0 \)
D) \( m_1 m_2 = -1 \)
9 / 40What is the algebraic equation of the
\( x \)-axis?
A) \( y = 0 \)
B) \( x = 0 \)
C) \( x = y \)
D) \( xy = 0 \)
10 / 40What is the algebraic equation of the
\( y \)-axis?
A) \( y = 0 \)
B) \( x = y \)
C) \( x = 0 \)
D) \( x + y = 0 \)
11 / 40The equation of a straight line parallel to the \( x \)-axis at a distance \( b \) is:
A) \( x = b \)
B) \( x = 0 \)
C) \( y = 0 \)
D) \( y = b \)
12 / 40The equation of a straight line parallel to the \( y \)-axis at a distance \( a \) is:
A) \( y = a \)
B) \( x = a \)
C) \( x = 0 \)
D) \( y = 0 \)
13 / 40The "Point-Slope Form" of the equation of a straight line is:
A) \( y - y_1 = m(x - x_1) \)
B) \( y = mx + c \)
C) \( \frac{x}{a} + \frac{y}{b} = 1 \)
D) \( x \cos \omega + y \sin \omega = p \)
14 / 40The "Two-Point Form" of the equation of a straight line is:
A) \( y = mx + c \)
B) \( y - y_1 = m(x - x_1) \)
C) \( Ax + By + C = 0 \)
D) \( y - y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x - x_1) \)
15 / 40The "Slope-Intercept Form" of the equation of a line is:
A) \( \frac{x}{a} + \frac{y}{b} = 1 \)
B) \( y - y_1 = m(x - x_1) \)
C) \( y = mx + c \)
D) \( Ax + By + C = 0 \)
16 / 40The "Intercept Form" of the equation of a straight line is:
A) \( y = mx + c \)
B) \( \frac{x}{a} + \frac{y}{b} = 1 \)
C) \( x \cos \omega + y \sin \omega = p \)
D) \( Ax + By = C \)
17 / 40The "Normal Form" of the equation of a straight line is:
A) \( \frac{x}{a} + \frac{y}{b} = 1 \)
B) \( x \cos \omega + y \sin \omega = p \)
C) \( y = mx + c \)
D) \( Ax + By + C = 0 \)
18 / 40The "General Equation" of a straight line is written as:
A) \( y = mx + c \)
B) \( x^2 + y^2 = r^2 \)
C) \( \frac{x}{a} + \frac{y}{b} = 1 \)
D) \( Ax + By + C = 0 \)
19 / 40The exact slope of the general line
\( Ax + By + C = 0 \) is:
A) \( -\frac{A}{B} \)
B) \( \frac{A}{B} \)
C) \( -\frac{C}{B} \)
D) \( -\frac{C}{A} \)
20 / 40The \( x \)-intercept of the general line
\( Ax + By + C = 0 \) is:
A) \( -\frac{A}{B} \)
B) \( -\frac{C}{B} \)
C) \( -\frac{C}{A} \)
D) \( \frac{C}{A} \)
21 / 40The \( y \)-intercept of the general line
\( Ax + By + C = 0 \) is:
A) \( \frac{C}{B} \)
B) \( -\frac{C}{A} \)
C) \( -\frac{A}{B} \)
D) \( -\frac{C}{B} \)
22 / 40The perpendicular distance of point \( (x_1, y_1) \) from line \( Ax + By + C = 0 \) is:
A) \( \frac{|Ax_1 + By_1 + C|}{\sqrt{A^2 + B^2}} \)
B) \( \frac{|Ax_1 + By_1 + C|}{A^2 + B^2} \)
C) \( \frac{C}{\sqrt{A^2 + B^2}} \)
D) \( \sqrt{A^2 + B^2} \)
23 / 40The distance between two parallel lines
\( Ax + By + C_1 = 0 \) and \( Ax + By + C_2 = 0 \) is:
A) \( \frac{|C_1 + C_2|}{\sqrt{A^2 + B^2}} \)
B) \( \frac{|C_1 - C_2|}{\sqrt{A^2 + B^2}} \)
C) \( |C_1 - C_2| \)
D) \( \sqrt{A^2 + B^2} \)
24 / 40The perpendicular distance of the origin \( (0,0) \) from line \( Ax + By + C = 0 \) is:
A) \( \frac{|A|}{\sqrt{A^2 + B^2}} \)
B) \( \frac{|B|}{\sqrt{A^2 + B^2}} \)
C) \( \frac{|C|}{\sqrt{A^2 + B^2}} \)
D) \( 0 \)
25 / 40Find the slope of the line passing through
\( (0, 0) \) and \( (2, 2) \).
A) \( 0 \)
B) \( 2 \)
C) \( 1 \)
D) \( -1 \)
26 / 40What is the equation of a line passing strictly through the origin with slope \( m \)?
A) \( y = mx \)
B) \( y = x + m \)
C) \( x = my \)
D) \( y = m \)
27 / 40What is the \( y \)-intercept of the line given by
\( y = 3x + 4 \)?
A) \( 3 \)
B) \( -4 \)
C) \( 0 \)
D) \( 4 \)
28 / 40What is the exact slope of the line
\( y = -2x + 5 \)?
A) \( 5 \)
B) \( -2 \)
C) \( 2 \)
D) \( -5 \)
29 / 40What is the \( x \)-intercept of the straight line
\( \frac{x}{2} + \frac{y}{3} = 1 \)?
A) \( 3 \)
B) \( 1 \)
C) \( 6 \)
D) \( 2 \)
30 / 40What is the \( y \)-intercept of the straight line
\( \frac{x}{4} + \frac{y}{5} = 1 \)?
A) \( 4 \)
B) \( 5 \)
C) \( 1 \)
D) \( 9 \)
31 / 40Find the exact slope of the linear equation
\( 2x + y - 3 = 0 \).
A) \( -2 \)
B) \( 2 \)
C) \( 3 \)
D) \( 1 \)
32 / 40Equation of a straight line with slope \( 2 \) and \( y \)-intercept \( 3 \) is:
A) \( y = 3x + 2 \)
B) \( x = 2y + 3 \)
C) \( y = 2x + 3 \)
D) \( y = 2x - 3 \)
33 / 40Three points \( A, B, C \) are collinear if and only if the slope of \( AB \) is equal to:
A) Slope of \( AC \) + Slope of \( BC \)
B) Slope of \( BC \)
C) Zero
D) Infinity
34 / 40The angle between two perfectly parallel lines is always:
A) \( 90^\circ \)
B) \( 45^\circ \)
C) \( 0^\circ \)
D) \( 180^\circ \)
35 / 40The angle between two perfectly perpendicular lines is always:
A) \( 0^\circ \)
B) \( 45^\circ \)
C) \( 180^\circ \)
D) \( 90^\circ \)
36 / 40The point of intersection of the \( x \)-axis and \( y \)-axis is known as:
A) Origin \( (0,0) \)
B) Infinity
C) Quadrant I
D) The focal point
37 / 40A straight line is completely and uniquely determined if we know:
A) Two distinct points
B) Only one point
C) Only the \( x \)-intercept
D) Only the \( y \)-intercept
38 / 40The mathematical distance between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is:
A) \( \sqrt{(x_2 + x_1)^2 + (y_2 + y_1)^2} \)
B) \( |x_2 - x_1| + |y_2 - y_1| \)
C) \( \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
D) \( (x_2 - x_1)^2 + (y_2 - y_1)^2 \)
39 / 40The exact slope of any perfectly horizontal line is:
A) \( 1 \)
B) Zero
C) Infinity
D) Negative
40 / 40The exact slope of any perfectly vertical line is:
A) Zero
B) \( 1 \)
C) \( -1 \)
D) Not defined
Test Analysis

Correct ✅ 0

Wrong ❌ 0

Unattempted ⚠️ 40

Accuracy 🎯 0%

Time Taken ⏱️ 00m 00s

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