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Standard XII

Mathematics

Condition for Two Lines to Be Perpendicular

The slope of ...

Question

The slope of the line $y = - 5 x + 8$ , when it is shifted down by $3$ units and left by $2$ units, is

- 5

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Solution

The correct option is A $- 5$
Shifting the line along $x$ or $y$ directions won't change the slope of the line. Since $^{'} - 5^{'}$ denotes the slope of the initial line, hence the slope of the resultant line will also be $- 5$ .

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The area of a rectangle gets reduced by 9 square units. if its length is reduced by 5 units and breadth is increased by 3 units. However, if the length of this rectangle increases by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.

Let the length of the rectangle = x units and its breadth = y units

According to first condition :
$(x - 5) (y + 3) = x y - 9$ and

According to second condition:
$(x + 3) (y + 2) = x y + 67$

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The slope of the line y=−5x+8, when it is shifted down by 3 units and left by 2 units, is

The correct option is A −5Shifting the line along x or y directions won't change the slope of the line. Since ′−5′ denotes the slope of the initial line, hence the slope of the resultant line will also be −5.

The slope of the line $y = - 5 x + 8$ , when it is shifted down by $3$ units and left by $2$ units, is

The correct option is A $- 5$
Shifting the line along $x$ or $y$ directions won't change the slope of the line. Since $^{'} - 5^{'}$ denotes the slope of the initial line, hence the slope of the resultant line will also be $- 5$ .