मराठी

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

पर्याय

  • 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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Co-Ordinate Geometry - Exercise 6.7 [पृष्ठ ६६]

APPEARS IN

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

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

If (−2, 3), (4, −3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates of its centroid.


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


Determine the ratio in which the straight line x - y - 2 = 0 divides the line segment
joining (3, -1) and (8, 9).


Find the coordinates of the midpoints of the line segment joining

A(3,0) and B(-5, 4)


If (2, p) is the midpoint of the line segment joining the points A(6, -5) and B(-2,11) find the value of p.


ABCD is rectangle formed by the points A(-1, -1), B(-1, 4), C(5, 4) and D(5, -1). If P,Q,R and S be the midpoints of AB, BC, CD and DA respectively, Show that PQRS is a rhombus.


The abscissa of a point is positive in the


A point whose abscissa is −3 and ordinate 2 lies in


If A(3, y) is equidistant from points P(8, −3) and Q(7, 6), find the value of y and find the distance AQ. 


Find the area of a parallelogram ABCD if three of its vertices are A(2, 4), B(2 + \[\sqrt{3}\] , 5) and C(2, 6).                 

 


\[A\left( 6, 1 \right) , B(8, 2) \text{ and }  C(9, 4)\] are three vertices of a parallelogram ABCD . If E is the mid-point  of DC , find the area of  \[∆\] ADE.

 

Write the formula for the area of the triangle having its vertices at (x1, y1), (x2, y2) and (x3, y3).


The length of a line segment joining A (2, −3) and B is 10 units. If the abscissa of B is 10 units, then its ordinates can be


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


Find the point on the y-axis which is equidistant from the points (S, - 2) and (- 3, 2).


Write the equations of the x-axis and y-axis. 


The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are ______.


The point whose ordinate is 4 and which lies on y-axis is ______.


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


Ryan, from a very young age, was fascinated by the twinkling of stars and the vastness of space. He always dreamt of becoming an astronaut one day. So, he started to sketch his own rocket designs on the graph sheet. One such design is given below :

Based on the above, answer the following questions:

i. Find the mid-point of the segment joining F and G.    (1) 

ii. a. What is the distance between the points A and C?   (2)

OR

b. Find the coordinates of the points which divides the line segment joining the points A and B in the ratio 1 : 3 internally.    (2)

iii. What are the coordinates of the point D?    (1)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×