Advertisements
Advertisements
प्रश्न
The co-ordinates of two points P and Q are (2, 6) and (−3, 5) respectively Find the co-ordinates of the point where PQ intersects the x-axis.
उत्तर
Let the line PQ intersects the x-axis at point A (x, 0).
Putting y = 0 in the equation of the line PQ, we get,
0 = x + 28
x = −28
Thus, the co-ordinates of the point where PQ intersects the x-axis are A (−28, 0).
APPEARS IN
संबंधित प्रश्न
Solve the following inequation and represent the solution set on the number line 2x – 5 <= 5x + 4 < 11, where x ∈ I
Given the equation of line L, is y = 4.
(1) Write the slope of line L2, if L2, is the bisector of angle O.
(2) Write the co–ordinates of point P.
(3) Find the equation of L2.
Find, which of the following points lie on the line x – 2y + 5 = 0 :
(1, 3)
Find the equation of the line passing through : (0, 1) and (1, 2)
The co-ordinates of two points P and Q are (2, 6) and (−3, 5) respectively. Find:
- the gradient of PQ;
- the equation of PQ;
- the co-ordinates of the point where PQ intersects the x-axis.
The line segment joining the points A(3, −4) and B(−2, 1) is divided in the ratio 1 : 3 at point P in it. Find the co-ordinates of P. Also, find the equation of the line through P and perpendicular to the line 5x – 3y = 4.
The vertices of a triangle ABC are A(0, 5), B(−1, −2) and C(11, 7). Write down the equation of BC. Find:
- the equation of line through A and perpendicular to BC.
- the co-ordinates of the point P, where the perpendicular through A, as obtained in (i), meets BC.
Find if the following points lie on the given line or not:
(1,3) on the line 2x + 3y = 11
Find the equation of a line whose slope and y-intercept are m = -3, c = -1
Which of the following equation represents a line equally inclined to the axes?
