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18.06.2021, adminGeneral Instructions. Question 1. Question 2. Question 3. Question 4. The coordinates of the points P and Q are 4, � 3 and - 1, 7 , respectively.
Question 5. Show that quadrilateral that OAPB is cyclic. Question 6. Question 7. Is there any natural number n for which 6 n ends with the digit 0? Give reasons in support of your answer. Question 8. Which term of the A. Question 9. The length of a line segment is 10 units. If one end is 2, � 3 and the abscissa of the other end is 10, then its ordinate is either 3 or � 9. Give justification for the two answers. Question More than ogive and less than ogive for a given data with mean 23 meet at 20, Find its mode.
A letter of English alphabets is chosen at random. Find the polynomial g x. If the sum of the first n terms of an A. If 1, 2 , 4, y , x, 6 and 3, 5 are the vertices of a parallelogram taken in order, find the value of x and y. A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm, respectively. Find the sides AB and AC. In the figure, ABC is a triangle right angled at A.
Find the area of the shaded region. A bag contains white, black and red balls only. A ball is drawn at random from the bag. Find the probability of getting a red ball. If the bag contains 20 black balls, then find the total number of balls in the bag. If the water in the tank is transferred to a cylindrical tank of radius 3. Construct an isosceles triangle whose base is 6 cm and altitude 5 cm and then construct another triangle whose sides are of the corresponding sides of the isosceles triangle.
Prove that :. Find the original list price of the book. State and prove the basic proportionality theorem. A building is made by keeping the lower window of a building at a height of 2 m above the ground and its upper window 6 m vertically above the lower window in view to have proper sunlight.
Find the height of the balloon above the ground. A well of diameter 3 m and 14 m deep is dug. The earth, taken out of it, has been evenly spread all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment. Find area of the triangle formed between the lines and Y-axis.
Find the number. The following table shows the ages of the patients admitted in a hospital during a month :. Answer 1. Let x will terminate after 3 decimal places. Answer 2. Answer 3. Answer 4. The coordinates of P and Q are 4,-3 and -1,7 respectively.
Let coordinate of R be x,y. Now, By section formula, Thus, abscissa of point R is 1. Answer 5. In a circle, radius is perpendicular to the tangent at the point of contact. Answer 6. Answer 7. Answer 8. Given A. Answer 9. Let AB be the line segment of length 10 cm having coordinates A 2, � 3 and B 10, b. Answer Let the vertices of parallelogram be A 1, 2 , B 4, y , C x, 6 and D 3, 5.
We know, diagonals of a parallelogram bisect each other. We have,. Then, Vol. Statement : The line drawn from the mid-point of one side of a triangle parallel to another side bisects the third side. To prove : E is the mid-point of Ac. Let r be the radius of well, h be the height of the well, x be the width of embankment and H be the height of embankment.
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