English

If (2, 4) is the mid-point of the line-segment joining (6, 3) and (a, 5), then the value of a is ______. - Mathematics

Advertisements
Advertisements

Question

If (2, 4) is the mid-point of the line segment joining (6, 3) and (a, 5), then the value of a is ______.

Options

  • 2

  • 4

  • – 4

  • – 2

MCQ
Fill in the Blanks

Solution

If (2, 4) is the mid-point of the line segment joining (6, 3) and (a, 5), then the value of a is – 2.

Explanation:

x = `(x_1 + x_2)/2`

2 = `(6 + a)/2`

a = – 2

shaalaa.com
  Is there an error in this question or solution?
2022-2023 (March) Basic - Outside Delhi Set 1

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Calculate the ratio in which the line joining A(6, 5) and B(4, –3) is divided by the line y = 2.


The line segment joining A(4, 7) and B(−6, −2) is intercepted by the y – axis at the point K. write down the abscissa of the point K. hence, find the ratio in which K divides AB. Also, find the co-ordinates of the point K.


Find the lengths of the medians of a  ΔABC whose vertices are A(0,-1) , B(2,1) and C (0.3).


The origin o (0, O), P (-6, 9) and Q (12, -3) are vertices of triangle OPQ. Point M divides OP in the ratio 1: 2 and point N divides OQ in the ratio 1: 2. Find the coordinates of points M and N. Also, show that 3MN = PQ. 


Find the points of trisection of the segment joining A ( -3, 7) and B (3, -2). 


Find the ratio in which the line segment joining P ( 4, -6) and Q ( -3, 8) is divided by the line y = 0. 


Find the ratio In which is the segment joining the points (1, - 3} and (4, 5) ls divided by x-axis?  Also, find the coordinates of this point on the x-axis.


Using section formula, show that the points A(7, −5), B(9, −3) and C(13, 1) are collinear


Find the ratio in which the line segment joining the points A(6, 3) and B(–2, –5) is divided by x-axis.


Read the following passage:

Jagdish has a field which is in the shape of a right angled triangle AQC. He wants to leave a space in the form of a square PQRS inside the field for growing wheat and the remaining for growing vegetables (as shown in the figure). In the field, there is a pole marked as O.

Based on the above information, answer the following questions :

  1. Taking O as origin, coordinates of P are (–200, 0) and of Q are (200, 0). PQRS being a square, what are the coordinates of R and S?
  2. (a) What is the area of square PQRS?
    OR
    (b) What is the length of diagonal PR in square PQRS?
  3. If S divides CA in the ratio K : 1, what is the value of K, where point A is (200, 800)?

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×