General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks each. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. What is the mean of first 12 prime number? 2. If the zeros of the quadratic polynomial x 2 + (a+1)x + b are 2 and -3 , then a) a=-7 ,b=-1 b) a=5 , b=-1 c) a=2 ,b=-6 d) a=0, b=-6 3. If the probability of an event is 'p' the probability of its complementary event will be a) p-1 b) p c ) 1-p d) 1-1/p 4. The decimal expansion of the rational number 237/(2 3 ✕5) will terminate after a) one decimal place b) two decimal place c) three decimal place d) more than three decimal place ...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks each. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. In a family of 3 children, the probability of having atleast one boy is a ) 7/8 b) 1/8 c) 5/8 d) 3/4 2. The mean of 20 numbers is 18. If 2 is added to each number , what is the new mean? 3. Find the area of quadrant of a circle whose circumference is 22 cm. 4. The number 525 and 3000 are divisible by 3 ,5 , 15, 25 and 75. What is the HCF of 525 and 3000? 5. What should be added to the polynomial x 2 -5x +4 ,so that 3 is the zero of the resulting polynomial: a) 1 b) 2 c) 4 d) 5. 6. ...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks each. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. The probability of a number selected at random from the numbers 1,2,3.......15 is a multiple of 4 is. A) 4/15 b) 2/15 c) 1/5 d) 1/3 2. what is the value of x, if the median of the following data is (27.5) 24, 25, 26 , x+2, x+3, 30 ,33 , 37. 3. Find the area of circle inscribed in a square of side a cm. 4. The area of two similar ∆ABC and ∆DEF are 225 cm 2 and 81 cm 2 respectively. If the longest side of the larger triangle ∆ABC be 30 cm , find the longest side of the smaller triangle ∆DE...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks cach. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. LCM of 14 and 122. 2. If one of zeros of quadratic polynomial x 2 + 3x + k is 2 , then the value of k is ....... A) 10 b) -10 c) 5 d) -5 3. The pair of equations x=a and y=b graphically represents lines which are : a) Parallel b) intersecting at ( b,a) c) coincident. d) intersecting at ( a,b) 4. For what value of K , do the equation 3x-y +8 =0 and 6x- Ky = -16 represent coincident lives? a) 1/2 b) -1/2 c) 2 d) -2 5. If k, 2k -1 and 2k+1 are in A.P. , then value of k is.... 6. ...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks cach. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. Which of the following can be the probability of an event? a) -0.04 b) 1.004 c) 18/23 d) 8/7 2. What is the mode of the observation 5, 7, 8, 5, 7, 6, 9, 5, 10, 6. 3. If the circumference of two circles are equal , then what is the ratio between their areas? 4. In the given figure, ABC is circumscribing a circle , then find the length of BC. 5. Write the statement of Pythagoras theorem. 6. If k, 2k-1 and 2k+1 are in A.P. then the value of k is ....... 7. If discriminant of 6x 2 - ...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks cach. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. After how many decimal places the decimal expansion of 54/150 will terminate. 2. Which of the following can't be the probability of an event? a) 0.7 b) 2/3 c) -1.5 d) 15% 3. What is the median of first 5 natural numbers? 4. In the given figure, find x , where ST is the tangent. 5. If sinθ = cosθ, find the value of θ. 6. Find the value of m in which the points (3,5) , (m,6) and (1/2, 15/2) are collinear. 7. If sides of two similar triangles are in the ratio of 8:10, then areas of t...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks cach. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. If n is Natural number then 9 2n -4 2n is always divisible by (a) 5 (b) 13 (c) 5 and 13 (d) none of these 2. If the mean of the following distribution is 2.6 , then the value of y is a) 3 b) 8 c) 13 d) 24 3. If the difference between the circumference and radius of a circle is 37 cm then the circumference (in cm) of the circle is a) 7 b) 14 c) 44 d) 154 4. If am≠bl, then the system of equations ax+ by= c and Ix+ my= n (a) has a unique solution (c) has infinitely many soluti...

Circle Question no. 16 Under which of the following conditions does a general equation ax 2 + 2hxy + by 2 +2gx +2fy +c = 0 represents a circle? looks_one h=g , a=b looks_two h=g=f , a=b looks_3 h=0 , a=b looks_4 h=0 , g 2 + f 2 -c=a+b Answer Option looks_3 h=0 , a=b Solution Solution : Condition for circle 1) a = b 2) h = 0 Question no. 17 What is the equation to circle which touches both the axes and has centre on the line x+y-4=0 ? looks_one x 2 + y 2 +4x -4y +4 = 0 looks_two x 2 + y 2 +4x +4y +4 = 0 looks_3 x 2 + y 2 -4x -4y +4 = 0 looks_4 x 2 + y 2 -4x +4y +4 = 0 Answer option looks_3 x 2 + y 2 -4x -4y +4 = 0 solution Solution : x+ y = 4 If both the axes are touched by circle (x-2) 2 + (y-2) 2 = 4 x 2 + y 2 -4x -4y +4 = 0 Question no. 18 If the Circle x 2 + y 2 +2gx +2fy +c = 0 (c>0) touches the y-axis , then which one of the following is correct ? l...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks cach. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. Find the LCM of 96 and 360 by using Fundamental Theorem of Arithmetic. 2. A line segment is of length 5 cm. If the coordinates of its one end are (2,2) and that of the other end are (-1, x), then find the value of x. 3. In figure, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA is perpendicular to PB, then find the length of each tangents. 4. The first three terms of an A.P. respectively are 3y - 1, 3y +5 and 5y +1. Find the value of y....