मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Choose the correct alternative:The area of the triangle formed by the lines x2 – 4y2 = 0 and x = a is - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:
The area of the triangle formed by the lines x– 4y2 = 0 and x = a is

पर्याय

  • 2a2

  • `sqrt(3)/2 "a"^2`

  • `1/2 "a"^2`

  • `2/sqrt(3) "a"^2`

MCQ

उत्तर

`1/2 "a"^2`

shaalaa.com
Pair of Straight Lines
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Two Dimensional Analytical Geometry - Exercise 6.5 [पृष्ठ २८४]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 6 Two Dimensional Analytical Geometry
Exercise 6.5 | Q 22 | पृष्ठ २८४

संबंधित प्रश्‍न

Show that the equation 12x2 – 10xy + 2y2 + 14x – 5y + 2 = 0 represents a pair of straight lines and also find the separate equations of the straight lines.


Show that the pair of straight lines 4x2 + 12xy + 9y2 – 6x – 9y + 2 = 0 represents two parallel straight lines and also find the separate equations of the straight lines.


Find the angle between the pair of straight lines 3x2 – 5xy – 2y2 + 17x + y + 10 = 0.


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


ax2 + 4xy + 2y2 = 0 represents a pair of parallel lines then ‘a’ is:


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


Show that 4x2 + 4xy + y2 − 6x − 3y − 4 = 0 represents a pair of parallel lines


Find the equation of the pair of straight lines passing through the point (1, 3) and perpendicular to the lines 2x − 3y + 1 = 0 and 5x + y − 3 = 0


Find the separate equation of the following pair of straight lines
2x2 – xy – 3y2 – 6x + 19y – 20 = 0


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


The slope of one of the straight lines ax2 + 2hxy + by2 = 0 is three times the other, show that 3h2 = 4ab


A ∆OPQ is formed by the pair of straight lines x2 – 4xy + y2 = 0 and the line PQ. The equation of PQ is x + y – 2 = 0, Find the equation of the median of the triangle ∆ OPQ drawn from the origin O


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


Show that the equation 9x2 – 24xy + 16y2 – 12x + 16y – 12 = 0 represents a pair of parallel lines. Find the distance between them


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


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×