Question: 01
The difference of squares of two numbers is 180. If the square of the smaller number is 8 times the larger number, then the larger number is
Option
1) 18 2) 12
3) 22 4) 14
Solution
Question: 02
If α,β are the roots of 6x2-6x+1=0 then
Option
1) α+β=1
2) [math]|α+β|=\frac{-1}{\sqrt3}[/math]
3) α2+β2=2/3
4) [math]|α+β|=\frac{1}{\sqrt3}[/math]
Solution
Question: 03
If α,β are the roots of 3x2+7x+5=0 then
Option
1) α+β=5/3
2) α+β= -7/3
3) [math]|α+β|=\frac{\sqrt{29}}{3}[/math]
4) αβ=-5/3
Solution
Question: 04
If the roots of x2-(a+1)x+b2=0 are equal, a+b=2 and (a+1)b <0 , then a=
Option
1) 4 2) 6
3) 5 4) 3
Solution
Question: 05
If the roots of x2-(a+1)x+b2=0 are equal, a+b=2 and (a+1)b <0 , then b=
Option
1) -1 2) -3 3) -2 4) -4
Solution
Question: 06
If 5 is a root of x2-(K-1)x+10=0 , then the value of “K” is
Option
Solution
Question: 07
If 5 is a root of x2-(K-1)x+10=0 , then the value of “K” is
Option
Solution
Question: 08
If 5 is a root of x2-(K-1)x+10=0 , then the value of “K” is
Option
Solution
Question: 09
If 5 is a root of x2-(K-1)x+10=0 , then the value of “K” is
Option
Solution
Question: 10
If 5 is a root of x2-(K-1)x+10=0 , then the value of “K” is
Option
Solution
Question: 11
If 5 is a root of x2-(K-1)x+10=0 , then the value of “K” is
Option
Solution
Question: 12
If 5 is a root of x2-(K-1)x+10=0 , then the value of “K” is
Option
Solution
Question: 13
If 5 is a root of x2-(K-1)x+10=0 , then the value of “K” is
Option
Solution
Question: 14
If 5 is a root of x2-(K-1)x+10=0 , then the value of “K” is
Option
Solution
Question: 15
If 5 is a root of x2-(K-1)x+10=0 , then the value of “K” is