Download App

Coordinate Geometry — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsCoordinate Geometry2 Marks
Question
The line segment joining $A (2, 3)$ and $B (6, – 5)$ is intersected by the $X$ axis at the point $K.$ Write the ordinate of the point $K.$ Hence find the ratio in which $K$ divides $AB.$
✓

Answer

$A (2, 3)$ and $B (6,- 5)$
Intersected at $X$ axis at $K.$
$\therefore y = 0$ or ordinate $= 0$
$K (x, 0)$
Let required ratio be $a: 1$
$\therefore$ Ordinate of $K = 0$
$0=\frac{a \times-5+1 \times 3}{a+1}$
$0=-5 a+3$
$5 a=3, a=\frac{3}{5}$
$\therefore$ K divides $AB$ in ratio of $3 : 5$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[2 Mark Question Answer]" from Coordinate Geometry→Coordinate Geometry — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

Prove the following identities:
$\frac{1}{\sin \theta+\cos \theta}+\frac{1}{\sin \theta-\cos \theta}=\frac{2 \sin \theta}{1-2 \cos ^2 \theta}$
→
Find the ratio in which the join of (-4, 7) and (3, 0) is divided by the y-axis. Also, find the coordinates of the point of intersection.
→
Calculate the investment required to buy:
600 shares of Rs 25 each at a discount of Rs 3.
→
Solve the following equation: $4x^2 + 16x = 0$
→
In a single throw of a die, find the probability of getting a number:   greater than 4
→
How many multiples of $4$ lie between $10$ and $250?$
→
Form the quadratic equation whose roots are:
$\sqrt{3}$ and $3 \sqrt{3}$
→
A bag contains 16 colored balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is:    green or red 
→
Find the distance of the following point from the origin :
$(8 , 15)$
→
Solve equation by factorization : $3x^2= x + 4$
→