Find the slope of the line passing through the points `(i) (-2,3) and (8,-5)" "(ii) (4,-3) and (6,-3)" "(ii) (3,-1) and (3,2)`

Find the slope of the line passing through the points `(i) (-2,3) and

1.	Find the slope of the line passing through the points `(i) (-2,3) and (8,-5)" "(ii) (4,-3) and (6,-3)" "(ii) (3,-1) and (3,2)`
Answer» (i) Let `A(-2,3) and B(8,-5)` be tha given points. Then, slope of AB=`(-5-3)/(8-(-2))=(-8)/(10)=(-4)/(5)" "[thereforem=((y_(2)-y_(1)))/((x_(2)-x_(1)))]` (ii) Let C(4,-3) and D(6,-3) be the given points. Then, slope of CD=`(-3-(-3))/(6-4)=(-3+3)/(2)=(0)/(2)=0` ALTER: The points C(4,-3) and D(6,-3) have the same y-coordinate. So, CD is a line parallel to the line x-axis. Hence, it slope is 0. (iii) Let P(3,-1) and Q(3,2) , which is not defined. Slope of PQ=`=(2-(-1))/(3-3)=(3)/(0),` which is not defined ALTER: The points P(3,-1) and Q(3,2) have the same x-coordinates. So, PQ is a vertical line. Hence, its slope is not defined.

Discussion

No Comment Found

Related InterviewSolutions

Find the ratio in which the x-axis cuts the join of the points A(4,5) and B(-10,-2). Also, find the point of intersection.
If the origin is shifted to the point (-3,-2) by a translation of the axes, find the new coordinates of the point (3,-5).
The distance between the lines `5x-12y+65=0` and `5x-12y-39 = 0` is :A. 4B. 16C. 2D. 8
Prove that the locus of the centroid of the triangle whose vertices are`(acost ,asint),(bsint ,-bcost),`and `(1,0)`, where `t`is a parameter, is circle.A. `(3x -1)^(2) + (3y)^(2) = a^(2) - b^(2)`B. `(3x -1)^(2) + (3y)^(2) = a^(2) + b^(2)`C. `(3x + 1)^(2) + (3y)^(2) = a^(2) + b^(2)`D. ` (3x + 1)^(2) + (3y)^(2) = a^(2) - b^(2)`
Prove that the locus of the centroid of the triangle whose vertices are`(acost ,asint),(bsint ,-bcost),`and `(1,0)`, where `t`is a parameter, is circle.A. `(3x+1)^(2) + (3y)^(2) = a^(2) - b^(2)`B. `(3x - 1)^(2) = a^(2) - b^(2)`C. `(3x -1)^(2) + (3y)^(2) = a^(2) + b^(2)`D. `(3x + 1)^(2) + (3y)^(2) = a^(2) + b^(2)`
For `a gt b gt c gt 0`, if the distance between `(1,1)` and the point of intersection of the line `ax+by-c=0` and `bx+ay+c=0` is less than `2sqrt2` then,(A) `a+b-cgt0` (B) `a-b+clt0` (C) `a-b+cgt0` (D) `a+b-clt0`A. `a+b-c gt 0`B. `a-b+c lt 0`C. `a-b+c gt0`D. `a+b-c lt 0`
ABC is a triangle formed by the lines xy = 0 and x + y = 1 . Statement - 1 : Orthocentre of the triangle ABC is at the origin . Statement - 2 : Circumcentre of `Delta`ABC is at the point (1/2 , 1/2) .A. Statement -1 is True , Statement - 2 is true , Statement- 2 is a correct explanation for statement - 12B. Statement-1 is True , Statement-2 is True , Statement -2 is not a correct explanation for Statement - 1 .C. Statement-1 is True , Statement - 2 is False .D. Statement - 1 is False , Statement -2 is True .
Find the equations of the altitudes of a `triangle ABC`, whose vertices are A(2,-2), B(1,1) and C(-1,0).
The orthocentre of the triangle formed by the lines `x=2,y=3` and `3x+2y=6` is at the pointA. (2,0)B. (0,3)C. (2,3)D. none of these
If A(0, 0), B(2, 4) and C(6, 4) are the vertices of a `triangle ABC`, find the equations of its sides.

Find the slope of the line passing through the points `(i) (-2,3) and (8,-5)" "(ii) (4,-3) and (6,-3)" "(ii) (3,-1) and (3,2)`

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment