Question

. 1- A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the cards throughly. Find the probability that the number on the drawn card is:(i) an odd number.(ii) a perfect square(iii) a multiple of 5. (iv) an even prime number.

25/49 ; 1/7; 10/49;1/49

25/49 ; 1/7; 9/49;9/49

24/49 ; 1/7; 9/49;1/49

25/49 ; 1/7; 9/49;1/49

.

Q.2- A jar contains 54 marbles each of which is blue, green or white. The probability of selecting a blue marble at random from the jar is 1/3 and the probability of selecting a green marble from the jar is 4 /9. How many white marbles does the jar contain?

10

12

15

20

Clear selection

Q.3 -Two different dice are thrown together. Find the probability that the numbers obtained have (1)even sum (2)even product.

1/2 ; 3/4

1/2 ; 1/4

1/2 ; 3/2

3/2 ; 3/4

Clear selection

Q.4- find an acute angle x, when (cos x-sin x) / (cos x+sin x)=(1-√3) / (1+√3).

0

30⁰

60⁰

None of these

Clear selection

Q.5- If acotx+bcosecx=p and bcotx+acosecx=q, then p²-q²=

a²-b²

b²-a²

a²+b²

b-a

Clear selection

Q.6- (1-sin x) / (1+sin x)=

(sec x-tan x)²

(sec x+tan x)²

(tan x-sec x)²

(tan x + sec x)²

Q.7- Point p divides the lie segment joining the points A(2,1) and B(5,-8) such that AP/PB=1/3.if P lies on the line 2x-y+k=0,find the value of k.

4

-4

2

-2

Clear selection

Q. 8- Determine the ratio in which the line 3x+y-9=0 divides the line segment joining the points (1,3) and (2,7).

2:3

3:2

4:3

3:4

Clear selection

Q.9-Find the coordinates of the centre of the circle passing through the points (0,0) , (-2,1) and (-3,2).

(3/2 , 11/2)

(11/2 , 3/2)

(3/2 , -11/2)

(-3/2 , 11/2)

Q.10-Determine the general term of an A.P. whose 7th term is -1 and 16th term 17.

2n+15

2n-15

3n+14

3n-14

Q.11- If the sum of three consecutive terms of an increasing A.P is 51 and the product of the first and third of these terms is 273, then the third term is

13

9

21

17

Q.12- The sum of first 7 terms of an AP is 63 and sum of its next 7 terms is 161.Find the 28th term of this A.P.

75

57

63

65

Q. 13-In an A.P: given l=28,S=144 and there are total 9 terms .Find a.

9

7

6

4

Q.14 -The perimeter of a right triangle is 60 cm.Its hypotenuse is 25 cm.Find the area of the triangle.

140cm²

160cm²

150cm²

170cm²

Q.15-The perpendicular AD on the base BC of a ΔABC intersects BC at D so that DB=3 CD ,then 2AB²=

AC²+3BC²

2BC²+AC²

3AC²+BC²

2AC²+BC²

Q. 16- In Δ ABC,angle A=90⁰ ,AB=5cm and AC=12 cm.If AD is perpendicular to BC, then AD=

13/2 cm

60/13 cm

13/60 cm

2√15/13 cm

Q.17 Using quadratic formula ,solve the equation for x: abx²+(b²-ac)x-bc=0

-c/b or b/a

-c/b or -b/a

c/b or -b/a

b/c or -b/a

Q.18-If the roots of the quadratic equation (a-b)x²+(b-c)x +(c-a) =0 are equal. Find relation between a, b and c.

a=2b+c

a=b+2c

2a=b+c

a=2b +3c

Q.19- if 2 is a root of the equation x²+kx+12=0 and the equation x²+kx+q=0 has equal roots ,then q=

-16

16

8

-8

Q 20-Determine the value of k so that the following linear equations have no solution:(3k+1) x +3y - 2 =0 :( k²+1) x+(k-2) y - 5 =0

-2

0

-1

1

Q.21 If 2x-3y=7 and (a+b) x -(a+b-3)y=4a+b represent coincident lines , then a and b satisfies the equation

a+5b=0

5a+b=0

a-5b=0

5a-b=0

Q.22-Aruna has only Re 1 and Rs 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75, then the number of Re 1 andRs 2 coins are, respectively.

35,15

35,20

15,35

25,25

Q.23- If α and β are the zeros of the quadratic polynomial f(x) = ax²+bx+c , then evaluate 1/α³+1/β³.

(2abc-b³)/c³

(3abc-b³)/c³

(3abc-c³)/b³

(abc-2b³)/c³

Q.24- If the zeroes of the polynomial f(x)=x³-3x²+x+1 are a-b ,a , a+b, find a and b.

a=1,b=-√2,b=√2

a=1,b=-√2,b=√3

a=1,b=-√3,b=√2

a=2,b=-√2,b=√2

Q.25- If α and β are the zeros of the quadratic polynomial f(x) = 2x²+5x+k satisfying the relation α²+β²+αβ=21/4 , find the value of k.

-3

3

-2

2

please answer if u know
if its right i will give u free points​

Answer 1

Answer:

1. 1. 25/49

  2. 7/49

  3. 9/49

2. 12

3. 1.  1/2

   2. 3/4

4. none of these

5. a square +b square

6. option b

Step-by-step explanation:

2. 1/3*54= 18

   4/9*54=24

   which imply no of white marble = 54-18-24

   =12