Skip to main content

COORDINATE GEOMETRY

 

Sample Paper – 2009

Class – X

Subject – Mathematics

 

COORDINATE GEOMETRY- ASSIGNMENT

  1. Show that the points A (2, -2), B (14, 10), C (11, 13) and D (-1, 1) are the vertices of a rectangle.
  2. Determine the ratio in which the points (6, a) divides the join of A (-3, -1) and B (-8, 9). Also find the value of “a”.
  3. Find the point on the x-axis which is equidistant from the points (-2, 5) and (2, -3).find the coordinates of a point which divides internally the line segment joining the points (-3,-4) and (-8, 7) in the ratio of 7:5.
  4. Find the value of k for which the points (2, 5), (k, 11/2) and (4, 6) are collinear.
  5. Find the lengths of the median of the triangle whose vertices are (1,-1), (0, 4) and (-5,3) .
  6. Find the co-ordinates of the points of trisection of the line segment joining the points (3, -3) and (6, 9).
  7. The center of a circle of radius 13 units is the point (3, 6). P (7, 9) is a point inside the circle. APB is a chord of the circle such that AP = PB. Calculate the length of AB.
  8. The co-ordinates of the mid-point of the line joining the points (3p, 4) and (-2, 2q) are (5, p). Find the values of p and q.
  9. If ‘a’ is the length of one of the sides of an equilateral triangle ABC base BC lies on x-axis and vertex B is at the origin, find the coordinates of the vertices of the triangle ABC.
  10. The coordinates of the mid-point of the line joining the points (2p+1, 4) and (5, q – 1) are (2p, q). Find the value of p and q.
  11. Find the value of K for which the points with coordinates (3, 2), (4, K) and (5, 3) are collinear.
  12. A is a point on the y-axis whose ordinate is 5 and B is the point (-3, 1). Calculate the length of AB.
  13. The distance between A (1, 3) and B(x, 7) is 5. Find the possible values of x
  14. Show that the points (3, 3), (9, 0) and (12, 21) are the vertices of a right angled triangle.
  15. The center of a circle is (1, -2) and one end of a diameter is (-3, 2), find the co-ordinates of the other end.
  16. Find the area of the quadrilateral whose vertices , taken in order are (-6,-2), (-3,-5) ,(4,-2) and (2,4)
  17. Find area of the square whose points are A(5,6) B( 1,5) C(2,1)  D( 6,2).
  18. Determine the ratio in which the points P (m, 6) divides the join of A (-4, 3) and B (2, 8). Also find the value of m.
  19. Find the value of p for which the points (-1, 3), (2, p) and (5,-1) are collinear.
  20. Calculate the ratio in which the line joining A (6, 5) and B (4,-3) is divided by the line y=2. Also find the point of division.
  21. If the two opposite sides of the square are (5, 4) and (-1, 6). Find the other two.
  22. If the points (x,y) is equidistant from the points (2,1) and (1,-2). Show that x+3y=0.
  23. Show that the points (1, 1), (-1,-1) and ( form an isosceles triangle.Find the coordinates of third side of the triangle if its two vertices are (-1, 4) and (5, 2) and mid point of one side is (0, 3).Find area of triangle formed by (5, 6), (8, 9) and (2, 1).Show that the points (0, -1), (-2, 3), (6, 7) and (8, 3) are the vertices of a rectangle. The points A (0, 3), B (-2, a) and C (-1, 4) are the vertices of a right angled triangle at A, find the value of a. Find the value of k for which the points with coordinates (7, 5), (k, 11/2) and (2, 6) are collinear.

 


Labels:

Comments

Post a Comment

Popular posts from this blog

The Missing Mail | Class IX - Interact in English

NCERT / CBSE Literature Reader for English Course (Communicative) Important Exercise Questions Q.3: (a) Why is Ramanujam worried about getting his daughter married? Give four reasons. (b) How does the postman console and guide Ramanujam and his family during each of the instances you have listed in 3 (a)? Ans 3(a): Ramanujam is worried as he could not find a suitable match to marry his daughter off which was getting delayed because of different reasons. The four causes of his worriedness are - (i) Sometimes horoscopes did not match, (ii) Sometimes the girl’s appearance were not approved, (iii) At times there were problems of too much dowry and other financial matters, (iv) The season was closing with only three more auspicious dates left, whereas, he was not able to finalise any alliance by that time. Ans 3(b): First instance - When Ramanujam said that horoscopes did not agree Thanappa consoled and guided him by saying that he should not utter inauspicious words and when the God wills
Post a Comment
Read more

Carbon and it's Compounds

Introduction Carbon is an element which is of immense significance to us in both its elemental form and in the combined form. Bonding in Carbon - The Covalent Bond Although there are more than hundred elements around us we do not find these elements in their native form in nature. This is because most of these elements are highly reactive. Properties of Covalent Compounds A covalent bond can be formed in different ways. When a bond is formed by mutual sharing of one pair of electrons it is known as a 'single covalent bond', or simply 'a single bond'. Types of Covalent Bonds Types of covalent bonds are Single Bond, Double Bond , Triple Bond. Tetravalency in Carbon A carbon atom has a total of six electrons occupying the first two shells, i.e., the K-shell has two electrons and the L-shell has four electrons. Allotropes of Carbon The existence of one element in different forms, having different physical properties, but similar chemical properties is known as allotropy. Am
7 comments
Read more

ENGLISH (Communicative) Sample Question Paper 5

Sample Paper – 2009 Class – XSubject – ENGLISH (Communicative) General instructions: The paper consist of FOUR sections: SECTION A (READING) - 20 Marks SECTION B (WRITING) - 30 Marks SECTION C (GRAMMAR) - 20 Marks SECTION D (LITERATURE) - 30 Marks Attempt all the questions. Do not write anything on the question paper. All the answers must be correctly numbered as in the question paper. And written in the answer sheets provided to you. Attempt all questions in each section before going on to the next section. Read each question carefully and follow the instructions. Strictly adhere to the word limit given with each question. Marks will be deducted for exceeding the word limit. SECTION A (READING) – 20 MARKS A1. Read the following passage and answer the following questions: [12] THE TUITION TRAP 1. Given the general awareness of the woeful condition of our State sch
1 comment
Read more