(a) Prove that DAPD ~ DBPC
The given graph with a histogram represents the (b) Find the length of BD and PB
number of plants of different heights in a school (c) Hence, find the length of PA
campus. Study the graph carefully and answer the
following questions: (d) Find area DAPD: area DBPC

15] Distance (in m) 60 90 y Choose the correct answers to the questions from the given options. Time (in s) 2 x 5 (Do not copy the questions, write the correct answers The values of x and y are: only.) (a) x = 4, y = 150 (b) x = 3, y = 100
The roots of the quadratic equation px2 – qx + r = 0 a  a 
are real and equal if: (ix) The sum invested to purchase 15 shares of a company

15] Distance (in m) 60 90 y Choose the correct answers to the questions from the given options. Time (in s) 2 x 5 (Do not copy the questions, write the correct answers The values of x and y are: only.) (a) x = 4, y = 150 (b) x = 3, y = 100
The circumcentre of a triangle is the point which is:
value of x is: (a) at equal distance from the three sides of the
(a) 2 (b) 4 triangle.
(c) 8 (d) 10 (b) at equal distance from the three vertices of the
triangle.

15] Distance (in m) 60 90 y Choose the correct answers to the questions from the given options. Time (in s) 2 x 5 (Do not copy the questions, write the correct answers The values of x and y are: only.) (a) x = 4, y = 150 (b) x = 3, y = 100
For an Intra-state sale, the CGST paid by a dealer to (c) x = 4, y = 100 (d) x = 3, y = 150
the Central government is ` 120. If the marked price (viii) The 7th term of the given Arithmetic Progression
of the article is ` 2000, the rate of GST is: (A.P.):

15] Distance (in m) 60 90 y Choose the correct answers to the questions from the given options. Time (in s) 2 x 5 (Do not copy the questions, write the correct answers The values of x and y are: only.) (a) x = 4, y = 150 (b) x = 3, y = 100
What must be subtracted from the polynomial x3 +
x2 – 2x +1, so that the result is exactly divisible by 1  1 
(x – 3)? (a)   6  (b)   7 
a  a 
(a) – 31 (b) – 30
1  1 7 
(c) 30 (d) 31 (c)   8  (d)   7 

15] Distance (in m) 60 90 y Choose the correct answers to the questions from the given options. Time (in s) 2 x 5 (Do not copy the questions, write the correct answers The values of x and y are: only.) (a) x = 4, y = 150 (b) x = 3, y = 100
If matrix A =   and A2 =  , (c) ` 1350 (d) ` 900
0 2  0 4  then the

15] Distance (in m) 60 90 y Choose the correct answers to the questions from the given options. Time (in s) 2 x 5 (Do not copy the questions, write the correct answers The values of x and y are: only.) (a) x = 4, y = 150 (b) x = 3, y = 100
The median of the following observations arranged
in ascending order is 64. Find the value of x: (c) the point of intersection of the three medians.
27, 31, 46, 52, x, x + 4, 71, 79, 85, 90 (d) the point of intersection of the three altitudes of