The area of a triangle with vertices A(3,0),B(7,0) and C(8,4) isA. 14sq unitsB. 28 sq unitsC. 8 sq unitsD. 6 sq units

The area of a triangle with vertices A(3,0),B(7,0) and C(8,4) isA. 14s

1.	The area of a triangle with vertices A(3,0),B(7,0) and C(8,4) isA. 14sq unitsB. 28 sq unitsC. 8 sq unitsD. 6 sq units
Answer» Correct Answer - C Here, `(x_(1) = 3, y_(1) = 0), (x_(2) = 7, y_(2) = 0) "and" (x_(3) = 8, y_(3) = 4)` `therefore "area of "Delta ABC = (1)/(2) {x_(1) (y_(2)-y_(3)) +x_(2)(y_(3)-y_(1)) +x_(3)(y_(1) -y_(2))}` ` = (1)/(2) {3(0-4) + 7(4-0) + 8(0-0)} = (1)/(2){-12 +28 +0}` ` = ((1)/(2) xx 16) = 8` sq units.

Find the equation of a line , whose y-intercept is `-5` and passes through point A (-3,2) .
Find the equation of the line that passes through point `(5,-3)` and makes an intercept 4 on the X-axis .A. `3x - y + 12 = 0`B. `3x + y + 12 = 0`C. `3x - y -12 = 0`D. `3x + y - 12 = 0`
The equation of the line passing through point `(-3,-7)` and making an intercept of 10 units on X-axis can be `"_______"`.A. 4x + 3y = -9B. 8x - 3y = 80C. 7x - 13y - 70 = 0D. 7x + 3y - 70 = 0
The equation of the line whose x-intercept is 5 , and which is parallel to the line joining the points (3,2) and `(-4, -1)` is `"_______"`.A. `4x + 7y - 20 = 0 `B. 3x - 7y + 3 = 0C. 3x + 2y + 15 = 0D. 3x - 7y - 15 = 0
The line joining the points (2m + 2 , 2m) and (2m + 1, 3) passes through (m +1 , 1) , if the values of m are `"_______"`.A. `5 , -(1)/(5)`B. `1 , -1`C. `2 , - (1)/(2)`D. `3 , -(1)/(3)`
Find the area of the triangle formed by the line 3x - 4y + 12 = 0 with the coordinate axes .A. 6 `"units"^(2)`B. `12 "units"^(2)`C. `1 "units"^(2)`D. `36 "units"^(2)`
Write the coodinates of midpoint of the segment joining (4,5) and (12,15).
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.
Find the lengths of the medians AD and BE of `Delta ABC` whose vertices are A(7, -3), B(5, 3) and C(3, -1).
Find the point on x-axis which is equidistant from points A(-1, 0) and B(5, 0).