मराठी

Equation of the line passing through (1, 2) and parallel to the line y = 3x – 1 is ______. - Mathematics

Advertisements
Advertisements

प्रश्न

Equation of the line passing through (1, 2) and parallel to the line y = 3x – 1 is ______.

पर्याय

  • y + 2 = x + 1

  • y + 2 = 3 (x + 1)

  • y – 2 = 3 (x – 1)

  • y – 2 = x – 1

MCQ
रिकाम्या जागा भरा

उत्तर

Equation of the line passing through (1, 2) and parallel to the line y = 3x – 1 is y – 2 = 3 (x – 1).

Explanation:

Given equation is y = 3x – 1

Slope = 3

Slope of the line passing through the given point (1, 2) and parallel to the given line = 3

So, the equation of the required line is y – 2 = 3(x – 1)

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Straight Lines - Exercise [पृष्ठ १८२]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 10 Straight Lines
Exercise | Q 34 | पृष्ठ १८२

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4).


Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P (0, –4) and B (8, 0).


Find the value of x for which the points (x, –1), (2, 1) and (4, 5) are collinear.


Find the angle between the x-axis and the line joining the points (3, –1) and (4, –2).


The slope of a line is double of the slope of another line. If tangent of the angle between them is `1/3`, find the slopes of the lines.


If three point (h, 0), (a, b) and (0, k) lie on a line, show that `q/h + b/k = 1`


Find the slope of a line passing through the following point:

(3, −5), and (1, 2)


Show that the line joining (2, −3) and (−5, 1) is parallel to the line joining (7, −1) and (0, 3).


Prove that the points (−4, −1), (−2, −4), (4, 0) and (2, 3) are the vertices of a rectangle.


If three points A (h, 0), P (a, b) and B (0, k) lie on a line, show that: \[\frac{a}{h} + \frac{b}{k} = 1\].


Line through the points (−2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x. 


Find the equation of a straight line with slope −2 and intersecting the x-axis at a distance of 3 units to the left of origin.


Find the equations of the altitudes of a ∆ ABC whose vertices are A (1, 4), B (−3, 2) and C (−5, −3).


Find the angles between the following pair of straight lines:

3x − y + 5 = 0 and x − 3y + 1 = 0


Find the angles between the following pair of straight lines:

3x + 4y − 7 = 0 and 4x − 3y + 5 = 0


If θ is the angle which the straight line joining the points (x1, y1) and (x2, y2) subtends at the origin, prove that  \[\tan \theta = \frac{x_2 y_1 - x_1 y_2}{x_1 x_2 + y_1 y_2}\text { and } \cos \theta = \frac{x_1 x_2 + y_1 y_2}{\sqrt{{x_1}^2 + {y_1}^2}\sqrt{{x_2}^2 + {y_2}^2}}\].


Prove that the straight lines (a + b) x + (a − b ) y = 2ab, (a − b) x + (a + b) y = 2ab and x + y = 0 form an isosceles triangle whose vertical angle is 2 tan−1 \[\left( \frac{a}{b} \right)\].


Find the tangent of the angle between the lines which have intercepts 3, 4 and 1, 8 on the axes respectively.


Show that the line a2x + ay + 1 = 0 is perpendicular to the line x − ay = 1 for all non-zero real values of a.


The angle between the lines 2x − y + 3 = 0 and x + 2y + 3 = 0 is


The coordinates of the foot of the perpendicular from the point (2, 3) on the line x + y − 11 = 0 are


Point of the curve y2 = 3(x – 2) at which the normal is parallel to the line 2y + 4x + 5 = 0 is ______.


Find the equation to 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.


The reflection of the point (4, – 13) about the line 5x + y + 6 = 0 is ______.


Show that the tangent of an angle between the lines `x/a + y/b` = 1 and `x/a - y/b` = 1 is `(2ab)/(a^2 - b^2)`


The equation of the straight line passing through the point (3, 2) and perpendicular to the line y = x is ______.


The vertex of an equilateral triangle is (2, 3) and the equation of the opposite side is x + y = 2. Then the other two sides are y – 3 = `(2 +- sqrt(3)) (x - 2)`.


The equation of the line through the intersection of the lines 2x – 3y = 0 and 4x – 5y = 2 and

Column C1 Column C2
(a) Through the point (2, 1) is (i) 2x – y = 4
(b) Perpendicular to the line (ii) x + y – 5
= 0 x + 2y + 1 = 0 is
(ii) x + y – 5 = 0
(c) Parallel to the line (iii) x – y –1 = 0
3x – 4y + 5 = 0 is
(iii) x – y –1 = 0
(d) Equally inclined to the axes is (iv) 3x – 4y – 1 = 0

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×