Home
Class 12
MATHS
P(3,4), Q(7,2) and R(-2, -1) are the ver...

`P(3,4), Q(7,2) and R(-2, -1) are the vertices of PQR. Write down the slope of each side of the triangle.

Text Solution

Verified by Experts

As discussed earlier, three medians of a triangle divide the triangle into six equal areas. So point R must be centroid.
Therefore, `R-=((3+6+0)/(3),(4+0+0)/(3))-=(3,(4)/(3))`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.1|6 Videos

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.2|8 Videos

  • COORDINATE SYSTEM

    CENGAGE|Exercise Multiple Correct Answers Type|2 Videos

  • CROSS PRODUCTS

    CENGAGE|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

If A(1,-1), B(0,4), C(-5,3) are vertices of a triangle, then find the slope of each side.

Show that P(3,4), Q(7, -2), R((1,1) and S(-3, 7) are the vertices of a parallelogram.

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are (a) (4/3,3) (b) (3,2/3) (c) (3,4/3) (d) (4/3,2/3)

If P(-1,2) , Q(k,-2) , R(7,4) are the vertices of trianglePQR whose area is 22 sq.units then k is :

A point P moves on line 2x-3y+4=0 If Q(1,4) and R(3,-2) are fixed points, then the locus of the centroid of triangle PQR is a line: (a) with slope 3/2 (b) parallel to y-axis (c) with slope 2/3 (d) parallel to x-axis

If the coordinate of the mid - point of the sides AB, BC and CA of a trinagle are (3,4) (1,1) and (2,-3) respectively , then the vertice A and B of the triangle are .

If p_(2),p_(2),p_(3) are the perpendiculars from the vertices of a triangle to the opposite sides, then prove that p_(1)p_(2)p_(3)=(a^(2)b^(2)c^(2))/(8R^(3))

Consider a triangle PQR with coordinates of its vertices as P(-8,5), Q(-15, -19), and R (1, -7). The bisector of the interior angle of P has the equation which can be written in the form ax+2y+c=0. The distance between the orthocenter and the circumcenter of triangle PQR is

Points A, B, C lie on the parabola y^2=4ax The tangents to the parabola at A, B and C, taken in pair, intersect at points P, Q and R. Determine the ratio of the areas of the triangle ABC and triangle PQR

If P(1,2)Q(4,6),R(5,7), and S(a , b) are the vertices of a parallelogram P Q R S , then (a) a=2,b=4 (b) a=3,b=4 (c) a=2,b=3 (d) a=1orb=-1