Test Details

Num.System,Coordinate Geometry, Linear Eq.

Nov 11, 5:00 PM

60 minutes

Nov 11, 6:00 PM

51.0 marks

MCQ

30 questions

Umesh yadav

" we don't teach , we train"

Class Details

Mathematics

Class 9th

Mathematics

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Question Text

Question 1 :
If the expression$$ \displaystyle (x+y)^{-1}. (x^{-1}+y^{-1})(xy^{-1}+x^{-1}y)^{-1} $$ is simplefied it takes the form of which one of the following ?

Question 3 :
Which of the following is a solution of the equation 4x + 3y = 16?

Question 5 :
$$x = 2, y = -1$$ is a solution of the line equal to

Question 7 :
A machine takes $$2$$ litres of petrol to start and then $$3$$ litres per hour while running. What will the no. of hours for which machine run if total $$20$$ litres of petrol is used?

Question 8 :
A race-boat covers a distance of 60 km downstream in one and a half hour. It covers this distance up stream in 2 hours. The speed of the race-boat in still water is 35 km/hr, Find the speed of the stream.

Question 10 :
If the numerator of a fraction is increased by $$2$$ and the denominator is decreased by $$4$$ then it becomes $$2$$. If the numerator is decreased by $$1$$ and the denominator is increased by $$2$$, then it becomes $$\dfrac13$$. Find the sum of the numerator and denominator of the fraction.

Question 14 :
The coordinates of a point whose abscissa is 5 and which lies on the x-axis is <br/>

Question 16 :
If the points $$(k, 2 - 2k), (1 - k, 2k)$$ and $$(-k -4, 6 - 2k)$$ be collinear the possible value(s) of $$k$$ is/are

Question 17 :
State True or False.The point $$(-x, -y)$$ lies in the first quadrant where x < 0, y < 0.

Question 18 :
The points $$A(2a ,4a) , B(2a,6a)$$ and$$C(2a + \sqrt 3 a,5a)$$ (when a>0) are vertices of

Question 20 :
If the coordinates of the extermities of diagonal of a square are $$(2,-1)$$ and $$(6,2)$$, then the coordinates of extremities of other diagonal are

Question 21 :
The number $$x=1.242424....$$ can be expressed in the form $$x=\dfrac{p}{q}$$, where $$p$$ and $$q$$ are positive integers having no common factors. Then $$p+q$$ equals ____.

Question 24 :
State whether the following statements are true or false. Justify your answers.<br>Every real number need not be a rational number

Question 25 :
If $$7^{10}= 7 \times 7^n$$, what is the value of $$n$$?

Question 27 :
Evaluate the square root of the polynomial using factorisation method: $$\dfrac{x^2-16x+64}{(a+b)^{10}}$$<br/>

Question 28 :
If $$x=7+4\sqrt 3$$, then the value of $$\sqrt x+\dfrac {1}{\sqrt x}$$ is

Question 29 :
Simplify the following using law of exponents for $$a=2, x=1,y=1,z=1$$<br/>$$a^x\times a^y\times a^z$$

Question 30 :
If $$\cfrac { \sqrt { 7 } -1 }{ \sqrt { 7 } +1 } -\cfrac { \sqrt { 7 } +1 }{ \sqrt { 7 } -1 } =a+b\sqrt { 7 } $$, then find the values of $$a$$ and $$b$$

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