Q.
Column I
Column II
A
If $3 a-2 b+5 c=0$, then family of straight lines $a x+b y+c=0$ are always concurrent at a point whose co-ordinates is $( a , b )$, then the values of $a -5 b$
p
$3 \sqrt{2}$
B
Number of integral values of $b$ for which the origin and the point $(1,1)$ lie on the same side of the straight line $a ^2 x + aby +1=0$ for all $a \in R -\{0\}$ is
q
5
C
Vetices of a right angled triangle lie on a circle and extrimites of whose hypotenuse are $(6,0)$ and $(0,6)$, then radius of circle is
r
12
D
If the slope of one of the lines represented by $a x^2-6 x y+y^2=0$ is square of the other, then a is
s
3
t
8
| Column I | Column II | ||
|---|---|---|---|
| A | If $3 a-2 b+5 c=0$, then family of straight lines $a x+b y+c=0$ are always concurrent at a point whose co-ordinates is $( a , b )$, then the values of $a -5 b$ | p | $3 \sqrt{2}$ |
| B | Number of integral values of $b$ for which the origin and the point $(1,1)$ lie on the same side of the straight line $a ^2 x + aby +1=0$ for all $a \in R -\{0\}$ is | q | 5 |
| C | Vetices of a right angled triangle lie on a circle and extrimites of whose hypotenuse are $(6,0)$ and $(0,6)$, then radius of circle is | r | 12 |
| D | If the slope of one of the lines represented by $a x^2-6 x y+y^2=0$ is square of the other, then a is | s | 3 |
| t | 8 | ||
Straight Lines
Solution: