Question

1. If x = 3 + 2√2 , find the value of x + 1/x .
2.Verify that 2 is a zero of x³ - 6x² +11x - 6.
3. Find _k_ if - 2 is zero of polynomial 4x² - 3x + _k._
4. (y² + 3/2) (y² - 3/2)
[using : (a+b) (a-b) = a² - b²] Hint a = y², b = 3/2 .
5. 95×96 (solve by using identity.)
6. x² - y² /100 Hint by using a² - b² = (a+b) (a-b).
7.locate √3 on number line.
8.Find the median of 23,18,21,14,25,29,12.
9.Find the x, if the mean of x-2,9,x+1,7,1,5,3 is 4. also find mode.
10.find the median of 38,43,64,49,28,31,49,58, 62,80.
11.Find arithmetic mean if xi=4,6,9,10,15.
fi=5,10,10,7,8.
12.show that x+3 is a factor of 69+11x-x²+x³.
13.plot the points A(3,1),B(-5,1),C(-5,-3)and D(3,-3)on graph, join them and name the figure.
14.plot the point on the graph paper and in which quadrant or on which axis do each points lie. (-2,4),(3,-1),(-1,0),(-3,-5),(0,2).
15.Factorise :3x²-x-4.
16.A is thrown. What is the probability of getting a multiple of 3 on the upper face?
17.In tossing a coin 100 times head appear 56 times. What is the probability of tail for the coin.
18.Visualise 4.832 on number line using success magnification.
19.Rationlise the denominator
(2+√3)/(2-√3).
20.The following data give the number of children in 20 families :5,2,3,3,1,2,2,4,2,5,4,1,1,2,3,4,1,1,2,3.Construct a frequency table.​

Answer 1

Step-by-step explanation:

Since (x+1) is a factor of given cubic equation.

∴ it will completely divide the given equation.

Now, (x³+6x²+11x+6)=(x²+5x+6)(x+1)

=(x+2)(x+3)(x+1)

∴ zeros of (x+1)(x+2)(x+3)=0 are

x+1=0⇒x=−1

x+2=0⇒x=−2

x+3=0⇒x=−3

x³−6x+11x−6=0

Put X=1

1−6+11−6=0

1 is root of equation, so (x−1) is factor of x³−6x²+11x−6

x²−5x+6=0

(x−3)(x−2)=0

x=2,3

root of cubic equation =1,2,3

Answer 2

Answer:

pl eas e give 1 question at a t i m e any one ca n an sw er o nl y o n e