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.
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 cm2 and 81 cm2 respectively. If the longest side of the larger triangle ∆ABC be 30 cm , find the longest side of the smaller triangle ∆DEF.
5. 3, k-2 , 5 are in A.P., find k.
6. Find the value of cosec70° - sec20°
7. The product of zeros of x3 + 4x2 + x-6 is __________
8. Find the value of k for which pair of linear equation 3x + 2y = -5 and x- ky = 2 has unique solution.
9. Given that two of the zeros of the cubic polynomial ax3+ bx2 + cx+ d are 0 , the third zero is __________.
10. In the given figure, PQ is tangent to outer circle and PR is tangent to inner circle. If PQ= 4 cm , OQ= 3cm and QR= 2 cm then find the length of PR.
11. If x= asinθ and y= a cosθ , then find the value of x2+ y2.
12. A motor cyclist is moving along the line x-y = 2 and another motor cyclist is moving along the line x-y= 4 , find out their moving direction.
13. If a quadratic polynomial f(x) is a square of a linear polynomial ,then its two zeros are coincident. (T/F).
14. The value of k for which the roots of quadratic equations x2 +4x+ k =0 are real is.________.
15. If a= xy2 and b= x3y5 where x and y are prime numbers then LCM of (a,b) is ______.
16. Find the nth term of the A.P. -10,-15,-20,-25.
17. In the given figure, if ∆ABC ∼ ∆PQR ,find the value of x?
18. If circumference and the area of a circle are numerically equal, find the diameter of the circle.
19. What is the median of first 5 natural number?
20. The probability that a non leap year selected at random will contains 53 Mondays 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)
4. The area of two similar ∆ABC and ∆DEF are 225 cm2 and 81 cm2 respectively. If the longest side of the larger triangle ∆ABC be 30 cm , find the longest side of the smaller triangle ∆DEF.
5. 3, k-2 , 5 are in A.P., find k.
6. Find the value of cosec70° - sec20°
7. The product of zeros of x3 + 4x2 + x-6 is __________
8. Find the value of k for which pair of linear equation 3x + 2y = -5 and x- ky = 2 has unique solution.
9. Given that two of the zeros of the cubic polynomial ax3+ bx2 + cx+ d are 0 , the third zero is __________.
10. In the given figure, PQ is tangent to outer circle and PR is tangent to inner circle. If PQ= 4 cm , OQ= 3cm and QR= 2 cm then find the length of PR.
12. A motor cyclist is moving along the line x-y = 2 and another motor cyclist is moving along the line x-y= 4 , find out their moving direction.
13. If a quadratic polynomial f(x) is a square of a linear polynomial ,then its two zeros are coincident. (T/F).
14. The value of k for which the roots of quadratic equations x2 +4x+ k =0 are real is.________.
15. If a= xy2 and b= x3y5 where x and y are prime numbers then LCM of (a,b) is ______.
16. Find the nth term of the A.P. -10,-15,-20,-25.
17. In the given figure, if ∆ABC ∼ ∆PQR ,find the value of x?
19. What is the median of first 5 natural number?
20. The probability that a non leap year selected at random will contains 53 Mondays is _______.
Section B
21. Find the radius of semicircle if it's perimeter is 18 cm.
22. Prove that : tan1°tan11°tan21°tan69°tan79°tan89°= 1
23. Find the sum of first 15 multiples of 8.
24. The length of tangent to a circle of radius 2.5 cm from an external point P is 6 cm. Find the distance of P from the nearest point of the circle.
25. Find the least number which is divisible by all numbers from 1 to 10 ( both inclusive).
26. If a square is inscribed in a circle, what is the ratio of the area of the circle and the square?
22. Prove that : tan1°tan11°tan21°tan69°tan79°tan89°= 1
23. Find the sum of first 15 multiples of 8.
24. The length of tangent to a circle of radius 2.5 cm from an external point P is 6 cm. Find the distance of P from the nearest point of the circle.
25. Find the least number which is divisible by all numbers from 1 to 10 ( both inclusive).
26. If a square is inscribed in a circle, what is the ratio of the area of the circle and the square?
Section C
27. Solve for x, 1/(x-1) -1/(x+5) = 6/7. x≠1,-5
28. Find the sum of integers between 10 and 500 which are divisible by 9.
29. In equilateral ∆ABC , AD ⊥ BC . Prove that 3BC2 = 4AD2.
30. The line segment joining the points A(2,1) and B(5,-8) is trisected at the point P and Q such that P is nearer to A. If P also lies on the line given by 2x -y + k =0 , find the value of k.
31. Prove that ( sinθ + cosecθ)2 + (cosθ + secθ)2= 7 + tan2θ + cot2θ.
32. Two dice are rolled once. Find the probability of getting such numbers on the two dice,
a) whose number is 12
b) sum of numbers on the two dice is at most 5.
33. Prove that secA(1-sinA)(secA + tanA) = 1.
34. Solve by cross multiplication method
x/a2 + y/b2 = 2.
Section D
35. The angle of elevation of the top of tower from certain point is 30°. If the observer moves 20 m towards the tower the angle of elevation of the top increases by 15°. Find the speed of the boat.
36. If the points (x,y) ,(-5,-2) and (3,-5) are collinear, prove that 3x +8y +31=0.
37. Find the smallest number, which when increased by 17, is exactly divisible by both 520 and 468.
38. Find the mean of the following distribution :
39. Construct a ∆ABC in which BC= 5 cm ,CA= 6 cm and AB= 7cm. Construct a ∆A'BC' similar to ∆ABC , each of whose side are times 7/5 the corresponding sides of ∆ABC.
40. The difference between outer and inner curved surface area of a hollow right circular cylinder, 14 cm long is 88cm2: If the volume of the metal used in making the cylinder is 176 cm3. Find the outer and inner diameter of the cylinder
36. If the points (x,y) ,(-5,-2) and (3,-5) are collinear, prove that 3x +8y +31=0.
37. Find the smallest number, which when increased by 17, is exactly divisible by both 520 and 468.
38. Find the mean of the following distribution :
40. The difference between outer and inner curved surface area of a hollow right circular cylinder, 14 cm long is 88cm2: If the volume of the metal used in making the cylinder is 176 cm3. Find the outer and inner diameter of the cylinder
Comments
Post a Comment