हिंदी

In Fig. 14.46, the Area of δAbc (In Square Units) is - Mathematics

Advertisements
Advertisements

प्रश्न

 In Fig. 14.46, the area of ΔABC (in square units) is

विकल्प

  • 15

  • 10

  • 7.5

  • 2.5

MCQ
Advertisements

उत्तर


The coordinates of A are (1, 3).
∴ Distance of A from the x-axis, AD = y-coordinate of A = 3 units
The number of units between B and C on the x-axis are 5.
∴ BC = 5 units
Now,
Area of ∆ABC = \[\frac{1}{2} \times BC \times AD = \frac{1}{2} \times 5 \times 3 = \frac{15}{2} = 7 . 5\]  square units

Thus, the area of ∆ABC is 7.5 square units.

 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Co-Ordinate Geometry - Exercise 6.7 [पृष्ठ ६६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 6 Co-Ordinate Geometry
Exercise 6.7 | Q 43 | पृष्ठ ६६

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Which point on the y-axis is equidistant from (2, 3)  and (−4, 1)?


A (3, 2) and B (−2, 1)  are two vertices of a triangle ABC whose centroid G has the coordinates `(5/3,-1/3)`Find the coordinates of the third vertex C of the triangle.


Name the quadrilateral formed, if any, by the following points, and given reasons for your answers:

A(-1,-2) B(1, 0), C (-1, 2), D(-3, 0)


In the seating arrangement of desks in a classroom three students Rohini, Sandhya and Bina are seated at A(3, 1), B(6, 4), and C(8, 6). Do you think they are seated in a line?


Show that the following points are the vertices of a square:

A (0,-2), B(3,1), C(0,4) and D(-3,1)


Point A lies on the line segment PQ joining P(6, -6) and Q(-4, -1) in such a way that `(PA)/( PQ)=2/5` . If that point A also lies on the line 3x + k( y + 1 ) = 0, find the value of k.


In what ratio is the line segment joining A(2, -3) and B(5, 6) divide by the x-axis? Also, find the coordinates of the pint of division.


In what ratio is the line segment joining the points A(-2, -3) and B(3,7) divided by the yaxis? Also, find the coordinates of the point of division.


Find the ratio in which the point (−3, k) divides the line-segment joining the points (−5, −4) and (−2, 3). Also find the value of k ?


Point P(x, 4) lies on the line segment joining the points A(−5, 8) and B(4, −10). Find the ratio in which point P divides the line segment AB. Also find the value of x.


The measure of the angle between the coordinate axes is


The area of the triangle formed by the points A(2,0) B(6,0)  and C(4,6) is


If the points P, Q(x, 7), R, S(6, y) in this order divide the line segment joining A(2, p) and B(7, 10) in 5 equal parts, find xy and p


Find the value of k if points A(k, 3), B(6, −2) and C(−3, 4) are collinear.

 

The distance of the point (4, 7) from the y-axis is


If A(4, 9), B(2, 3) and C(6, 5) are the vertices of ∆ABC, then the length of median through C is


What is the form of co-ordinates of a point on the X-axis?


Ordinate of all points on the x-axis is ______.


(–1, 7) is a point in the II quadrant.


If the vertices of a parallelogram PQRS taken in order are P(3, 4), Q(–2, 3) and R(–3, –2), then the coordinates of its fourth vertex S are ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×