Maths X Quiz - Chapter 1 Real Numbers

1. Square for example of x is written as x^2, similarly cube etc

2. Write more than one answers with "," in between but do not leave any space anywhere

2. Refresh/Reload the page if the test is not responding


1. quadratic formula was derived by _______ in _________ A.D.



2. the ___________ of the quadratic polynomial ax^2+bx+cand the ________ f the quadratic equation ax^2+bx+c = 0 are the same

[ write answers in assending order ]


3. Find two consecutive odd integers, sum of whose squares is 290


4. solve for x : (x-1)/(x-2) + (x-3)/ (x-4) = 10/3 (x is not equal to 2,4)


5. Find the possible value of r for which both the equations x^2 + rx + 64 = 0 and x^2 - 8x + r = 0 will have equal roots.




6. Solve for x, 1/(r + s + x) = 1/x + 1/r + 1/s [given x, r, s not equal to zero]


7. An aeroplane left 30 minutes later than its scheduled time but reached its destination on time.
For this it increased its usual speed by 250 km/h. Find the increased speed of aeroplane in km/h.
[Write answer without unit eg. 190]


8. Solve for x, (a + b)^2 x^2 + 8(a^2 - b^2)x + 16(a - b)^2 = 0
[ Choose one or more]
4(b - a)/(a + b), 4(b - a)/(a + b)
2(b - a)/(a + b), 2(b - a)/(a + b)
(b - a)/2(a + b), (b - a)/2(a + b)
(b - a)/4(a + b), (b - a)/4(a + b)

9. Find the condition that one root of equation ax^2 + bx + c = 0 is twice the other.
[ Choose one or more]
2b^2 = 9ac
4b^2 = 9abc
b^2 = 18abc
none of the above


10. The difference of two numbers is 5 and the difference of their reciprocals is 1/10. Find the numbers