English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

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

Advertisements
Advertisements

Question

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

Options

  • 2a2

  • `sqrt(3)/2 "a"^2`

  • `1/2 "a"^2`

  • `2/sqrt(3) "a"^2`

MCQ
Advertisements

Solution

`1/2 "a"^2`

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 284]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 6 Two Dimensional Analytical Geometry
Exercise 6.5 | Q 22 | Page 284

RELATED QUESTIONS

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


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


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:


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


Prove that the equation to the straight lines through the origin, each of which makes an angle α with the straight line y = x is x2 – 2xy sec 2α + y2 = 0


Find the separate equation of the following pair of straight lines
3x2 + 2xy – y2 = 0


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


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


For what values of k does the equation 12x2 + 2kxy + 2y2 +11x – 5y + 2 = 0 represent two straight lines


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


If the pair of straight lines x2 – 2kxy – y2 = 0 bisect the angle between the pair of straight lines x2 – 2lxy – y2 = 0, Show that the later pair also bisects the angle between the former


Choose the correct alternative:
Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter `4 + 2sqrt(2)` 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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×