| Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. |
| Assertion The distance of a points |
| P (x, y) from the origin is \[\sqrt{{{x}^{2}}-{{y}^{2}}}\]. |
| Reason If P (-1, 1) is the mid-point of the line segment joining A (-3, b) and B (1, b + 4), then value of b is -1. |
A) A is true, R is true; R is a correct explanation for A.
B) A is true, R is true; R is not a correct explanation for A.
C) A is true; R is False.
D) A is false; R is true.
Correct Answer: D
Solution :
| The distance of point P (x, y) from origin |
| \[=\sqrt{{{\left( x-0 \right)}^{2}}+{{\left( y-0 \right)}^{2}}}\] |
| \[=\sqrt{{{x}^{2}}+{{y}^{2}}}\] |
| Mid-point of A (-3, b) and B (1, b + 4) is |
| \[\left( \frac{-3+1}{2},\frac{b+b+4}{2} \right)=\left( -1,\,b+2 \right)\] |
| \[\therefore \,\,\,b+2=1\,\,\Rightarrow \,b=-1\] |
| Assertion is false but Reason is true. |
You need to login to perform this action.
You will be redirected in
3 sec
