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Straight Lines MATHS - Straight Lines

Rajasthan Board (RBSE) - STD 11 Science - MATHS (Rajasthan - English Medium). 315 questions in this chapter.

Question types

Straight Lines question types

315 questions across 8 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

315
Questions
8
Question groups
5
Question types
Sample Questions

Straight Lines questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark

What can be said regarding a line if its slope is negative?

  • A
    $\theta$ is an acute angle
  • B
    $\theta$ is an obtuse angle
  • C
    Either the line is x-axis or it is parallel to the x-axis
  • D
    None of these
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Q 5M.C.Q (1 Marks)1 Mark

The lines x + 2y - 5 = 0, 2x - 3y + 4 = 0, 6x + 4y - 13 = 0:

  • A
    Are concurrent
  • B
    Form a right angled triangle
  • C
    Form an isosceles triangle
  • D
    Form an equilateral triangle
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Q 7True False[1 Marks ]1 Mark
State whether the statements:
Equation of the line passing through the point $(\text{a} \cos^3\theta, \text{a} \sin^3 \theta)$ and perpendicular to the line $\text{x}\sec\theta+\text{y cosec}\ \theta=\text{a}$ is $\text{x}\cos\theta-\text{y}\sin\theta=\text{a}\sin2\theta.$
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Q 8True False[1 Marks ]1 Mark
State whether the statements:
The equation of the line joining the point (3, 5) to the point of intersection of the lines 4x + y - 1 = 0 and 7x - 3y - 35 = 0 is equidistant from the points (0, 0) and (8, 34).
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Q 293 Marks Question3 Marks
A person standing at the junction (crossing) of two straight paths represented by the equations 2x - 3y + 4 = 0 and 3x + 4y - 5 = 0 wants to reach the path whose equation is 6x - 7y + 8 = 0 in the least time. Find equation of the path that he should follow.
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Q 303 Marks Question3 Marks
Prove that the product of the lengths of the perpendiculars drawn from the points $\left( {\sqrt {{a^2} - {b^2}} ,0} \right)$ and $\left( { - \sqrt {{a^2} - {b^2}} ,0} \right)$ to the line $\frac{x}{a}\cos \theta + \frac{y}{b}\sin \theta = 1$ is b2.
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Q 325 Marks Questions5 Marks
Find the direction in which a straight line must be drawn through the point (-1, 2) so that its point of intersection with the line x + y = 4 may be at a distance of 3 units from this point.
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Q 335 Marks Questions5 Marks
Show that the equation of the line passing through the origin and making an angle $\theta$ with the line y = mx + c is $\frac{y}{x} = \frac{{m \pm \tan \theta }}{{1 \mp m\tan \theta }}$.
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Q 345 Marks Questions5 Marks
Find the equation of the line passing through the point of intersection of the lines 4x + 7y - 3 = 0 and 2x - 3y + 1 = 0 that has equal intercepts on the axis.
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Q 36Assertion (A) & Reason (B) MCQ1 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A) slope of line 3x - 4y + 10 = 0 is $\frac{3}{4}.$
Reason (R) x - intercept and y- intercept of 3x - 4y + 10 = 0 respectively are $\frac{-10}{3}$ and $\frac{5}{2}.$
  1. Both assertion and reason are true and reason is the correct explanation of assertion.
  2. Both assertion and reason are true but reason is not the correct explanation of assertion.
  3. Assertion is true but reason is false.
  4. Assertion is false but reason is true
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Q 37Assertion (A) & Reason (B) MCQ1 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A)  Area of the triangle whose vertices are (4, 4), (3, -2) and (- 3, 16), is
Reason (R)  Area of triangle whose vertices are (x1, y1), (x2, y2) and (x3, y3), is $\frac{1}{2}\text{x}_1(\text{y}_2-\text{y}_3)+\text{x}_2(\text{y}_3-\text{y}_1)+\text{x}_3(\text{y}_1-\text{y}_2)$
  1. A is true, R is true; R is acorrect explanation of A.
  2. A is true, R is true; R is not a correct explanation of A.
  3. A is true; R is false
  4. A is false; R is true.
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Q 38Assertion (A) & Reason (B) MCQ1 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A) The distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is $\frac{7}{10}$
Reason (R) The distance between lines the ax + by = c1 and ax + by = c2 is given by $\frac{\text{c}_1-\text{c}_2}{\sqrt{\text{a}^2+\text{b}^2}}$
  1. A is true, R is true; R is acorrect explanation of A.
  2. A is true, R is true; R is not a correct explanation of A.
  3. A is true; R is false
  4. A is false; R is true.
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Q 39Assertion (A) & Reason (B) MCQ1 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A) Slope of line 3x - 4y +10 = 0 is $\frac{3}{4}$
Reason (R) x - intercept and y-intercept of 3x - 4y + 10 = 0 respectively are $\frac{-10}{3} $ and $\frac{5}{2}.$
  1. A is true, R is true; R is acorrect explanation of A.
  2. A is true, R is true; R is not a correct explanation of A.
  3. A is true; R is false
  4. A is false; R is true.
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Q 40Assertion (A) & Reason (B) MCQ1 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A) The point (3, 0) is at 3 units distance from the Y-axis measured along the positive X - axis and has zero distance from the X - axis.
Reason (R) The point (3, 0) is at 3 units distance from the X - axis measured along the positive Y - axis and has zero distance from the Y - axis
  1. A is true, R is true; R is acorrect explanation of A.
  2. A is true, R is true; R is not a correct explanation of A.
  3. A is true; R is false
  4. A is false; R is true.
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