English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative:The coordinates of the four vertices of a quadrilateral are (−2, 4), (−1, 2), (1, 2) and (2, 4) taken in order.The equation of the line passing through the - Mathematics

Advertisements
Advertisements

Question

Choose the correct alternative:
The coordinates of the four vertices of a quadrilateral are (−2, 4), (−1, 2), (1, 2) and (2, 4) taken in order. The equation of the line passing through the vertex (−1, 2) and dividing the quadrilateral in the equal areas is

Options

  • x + 1 = 0

  • x + y = 1

  • x + y + 3 = 0

  • x − y + 3 = 0

MCQ
Advertisements

Solution

x − y + 3 = 0

shaalaa.com
Pair of Straight Lines
  Is there an error in this question or solution?
Chapter 6: Two Dimensional Analytical Geometry - Exercise 6.5 [Page 283]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 6 Two Dimensional Analytical Geometry
Exercise 6.5 | Q 8 | Page 283

RELATED QUESTIONS

If the equation ax2 + 5xy – 6y2 + 12x + 5y + c = 0 represents a pair of perpendicular straight lines, find a and c.


If m1 and m2 are the slopes of the pair of lines given by ax2 + 2hxy + by2 = 0, then the value of m1 + m2 is:


The angle between the pair of straight lines x2 – 7xy + 4y2 = 0 is:


If the lines 2x – 3y – 5 = 0 and 3x – 4y – 7 = 0 are the diameters of a circle, then its centre is:


Combined equation of co-ordinate axes is:


Find the combined equation of the straight lines whose separate equations are x − 2y − 3 = 0 and x + y + 5 = 0


The slope of one of the straight lines ax2 + 2hxy + by2 = 0 is twice that of the other, show that 8h2 = 9ab


Find p and q, if the following equation represents a pair of perpendicular lines
6x2 + 5xy – py2 + 7x + qy – 5 = 0


Find the value of k, if the following equation represents a pair of straight lines. Further, find whether these lines are parallel or intersecting, 12x2 + 7xy − 12y2 − x + 7y + k = 0


Prove that one of the straight lines given by ax2 + 2hxy + by2 = 0 will bisect the angle between the coordinate axes if (a + b)2 = 4h2


Prove that the straight lines joining the origin to the points of intersection of 3x2 + 5xy – 3y2 + 2x + 3y = 0 and 3x – 2y – 1 = 0 are at right angles.


Choose the correct alternative:
If the equation of the base opposite to the vertex (2, 3) of an equilateral triangle is x + y = 2, then the length of a side is


Choose the correct alternative:
The length of ⊥ from the origin to the line `x/3 - y/4` = 1 is


Choose the correct alternative:
If one of the lines given by 6x2 – xy – 4cy2 = 0 is 3x + 4y = 0, then c equals to ______.


Choose the correct alternative:
One of the equation of the lines given by x2 + 2xy cot θ – y2 = 0 is


The distance between the two points A and A' which lie on y = 2 such that both the line segments AB and A'B (where B is the point (2, 3)) subtend angle `π/4` at the origin, is equal to ______.


If `"z"^2/(("z" - 1))` is always real, then z, can lie on ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×