Ncert Class 10th Math Chapter 7.3,Ch 7 Of Maths Class 10,10th Ncert Economics Book Us - Test Out
07.03.2021, adminA system of mathematics in which the points on a plane are described using an ordered pair of numbers is called coordinate geometry. In NCERT solutions for class 10 Maths chapter 7 coordinate geometry, students will be able to get the answers to all the questions. If students want NCERT solutions for other classes and subjects, they can get the solutions by clicking on the above link.
Latest : Trouble with homework? Post your queries of Maths and Science with step-by-step solutions instantly. Ask Mr AL. Q1 i Find the distance between the following pairs of points : 2, 3 , 4, 1. Given points: 2, 3 , 4, 1. Distance between the points will be:. Q1 ii Find the distance between the following pairs of points : � 5, 7 , � 1, 3. Given points: � 5, 7 , � 1, 3. Q1 iii Find the distance between the following pairs of points : a, b , � a, � b.
Given points: a, b , � a, � b. Q2 Find the distance between the points 0, 0 and 36, Can you now find the distance between the two towns A and B discussed in Section 7. Given points: 0, 0 and 36, The distance between the two towns A and B is, thus 39 km for given towns location. Q3 Determine if the points 1, 5 , 2, 3 and � 2, � 11 are collinear.
Let the points 1, 5 , 2, 3 and � 2, � 11 be representing the vertices A, B, and C of the given triangle respectively. Since these are not satisfied. As these cases are not satisfied.
Hence the points are not collinear. Check whether 5, � 2 , 6, 4 and 7, � 2 are the vertices of an isosceles triangle. The distance between two points is given by:. So, we have the following points: 5, � 2 , 6, 4 and 7, � 2 assuming it to be the vertices of triangle A, B, and C respectively.
Here two sides are equal in length. Therefore, ABC is an isosceles triangle. Using distance formula, find which of them is correct. The coordinates of the points:. And the lengths of diagonals:.
So, here it can be seen that all sides of quadrilateral ABCD are of the same lengths and diagonals are also having the same length. Q6 i Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer: � 1, � 2 , 1, 0 , � 1, 2 , � 3, 0. Let the given points be representing the vertices A, B, C, and D of the given quadrilateral respectively.
The distance formula:. Finding the length of the diagonals:. It is clear that all sides are of the same lengths and also the diagonals have the same lengths. Hence, the given quadrilateral is a square. Q6 ii Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer: �3, 5 , 3, 1 , 0, 3 , �1, � 4. All the sides of the given quadrilateral have different lengths.
Therefore, it is only a general quadrilateral and not a specific one like square, rectangle, etc. Q6 iii Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer: 4, 5 , 7, 6 , 4, 3 , 1, 2. And the diagonals:. Here we can observe that the opposite sides of this quadrilateral are of the same length.
However, the diagonals are of different lengths. Therefore, the given points are the vertices of a parallelogram. Q7 Find the point on the x-axis which is equidistant from 2, �5 and �2, 9. Let the point which is equidistant from be as it lies on X-axis. Then, we have. Distance AX:. According to the question, these distances are equal length. Hence we have,. Solving this to get the required coordinates.
Squaring both sides we get,. Hence the point is. Q8 Find the values of y for which the distance between the points P 2, � 3 and Q 10, y is 10 units. Given the distance between the points and is 10 units. The distance formula :. So, given. After squaring both sides. Therefore, the values are.
Q9 If Q 0, 1 is equidistant from P 5, �3 and R x, 6 , find the values of x. Also, find the distances QR and PR. Given is equidistant from and. Then, the distances. Squaring both sides, we get. The points are:. The distances QR and PR. Q10 Find a relation between x and y such that the point x, y is equidistant from the point 3, 6 and � 3, 4. Let the point is equidistant from and.
Squaring both sides: we obtain. Thus, the relation is between x and y. Q1 Find the coordinates of the point which divides the join of �1, 7 and 4, �3 in the ratio 2 : 3.
Let the coordinates of point which divides the line segment joining the points and , internally, in the ratio then,. Section formula:. Substituting the values in the formula:. Hence the coordinate is. Q2 Find the coordinates of the points of trisection of the line segment joining 4, �1 and �2, �3. Let the trisection of the line segment and have the points and.
By observation point, P divides AB internally in the ratio. Substituting the values in the equation we get;. And by observation point Q, divides AB internally in the ratio. Substituting the values in the equation above, we get. Hence, the points of trisections are and. Q3 To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1m each.
What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag. Niharika posted the green flag at the distance P, i. Therefore, the coordinates of this point are. Similarly, Preet posted red flag at of the distance Q i.
Therefore, the coordinates of this point Q are. The distance is given by,. Let this point be. Then, by Section Formula,. Therefore, Rashmi should post her Blue Flag at Q4 Find the ratio in which the line segment joining the points � 3, 10 and 6, � 8 is divided by � 1, 6. Let the ratio be :. Then, By section formula:. Given point. Hence, the point divides the line AB in the ratio.
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