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The Straight Lines MATHS - The Straight Lines

Rajasthan Board (RBSE) - STD 11 Science - MATHS (Rajasthan - English Medium). 324 questions in this chapter.

Question types

The Straight Lines question types

324 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

324
Questions
5
Question groups
5
Question types
Sample Questions

The 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
Distance between the lines 5x + 3y - 7 = 0 and 15x + 9y + 14 = 0 is:

  1. $\frac{35}{\sqrt{34}}$

  2. $\frac{1}{3\sqrt{34}}$

  3. $\frac{35}{3\sqrt{34}}$

  4. $\frac{35}{2\sqrt{34}}$

  5. $35$

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Q 2M.C.Q (1 Marks)1 Mark
Three vertices of a parallelogram taken in order are (-1, -6), (2, -5) and (7, 2). The fourth vertex is:
  1. (1, 4)
  2. (4, 1)
  3. (1, 1)
  4. (4, 4)
  5. (0, 0)
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Q 3M.C.Q (1 Marks)1 Mark
The point which divides the join of (1, 2) and (3, 4) externally in the ratio 1 : 1:
  1. Lies in the III quadrant.
  2. Lies in the II quadrant.
  3. Lies in the I quadrant.
  4. Cannot be found.
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Q 4M.C.Q (1 Marks)1 Mark
L is a variable line such that the algebraic sum of the distances of the points (1, 1), (2, 0) and (0, 2) from the line is equal to zero. The line L will always pass through:
  1. (1, 1)
  2. (2, 1)
  3. (1, 2)
  4. none of these.
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Q 5M.C.Q (1 Marks)1 Mark
The acute angle between the medians drawn from the acute angles of a right angled isosceles triangle is:
  1. $\cos^{-1}\big(\frac{2}{3}\big)$
  2. $\cos^{-1}\big(\frac{3}{4}\big)$
  3. $\cos^{-1}\big(\frac{4}{5}\big)$
  4. $\cos^{-1}\big(\frac{5}{6}\big)$
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Q 61 Marks Question1 Mark
 If the centroid of a triangle formed by the points (0, 0), $(\cos \theta, \sin \theta)$ and $\sin \theta, - \cos \theta$ lies on the line y = 2x, then write the value of $\tan\theta.$ 
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Q 112 Marks Questions2 Marks
Find the equation of a line which makes an angle of tan-1 (3) with the x-axis and cuts off an intercept of 4 units on negative direction of y-axis.
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Q 163 Marks Question3 Marks
Find the distance of the point (1, 2) from the straight line with slope 5 and passing through the point of intersection of x + 2y = 5 and x - 3y = 7.
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Q 193 Marks Question3 Marks
The slope of a line is double of the slope of another line. If tangents of the angle between them is $\frac{1}{3},$ find the slopes of the other line.
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Q 225 Marks Questions5 Marks
 Show that the area of the triangle formed by the lines y = m1x, y = m2x and y = c is equal to $\frac{\text{c}^2}{4}(\sqrt{33}+\sqrt{11}),$ , where m1, m2 are the roots of the equation $\text{x}^2+(\sqrt{3}+2)\text{x}+\sqrt{3}-1=0.$ 
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Q 245 Marks Questions5 Marks
Find the equation of the straight line passing through the point of intersection of the lines 5x - 6y - 1 = 0 and 3x + 2y + 5 = 0 and perpendicular to the line 3x - 5y + 11 = 0
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Q 255 Marks Questions5 Marks
Find the equations of the straight lines which pass through the origin and trisect the portion of the straight line 2x + 3y = 6 which is intercepted between the axes.
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