Maths-

General

Easy

Question

# Integral curve satisfying has the slope at the point (1, 0) of the curve, equal to :

- -1
- 1

Hint:

### In this question we have to find the slope at the point (1,0) of the given curve, for this we will replace the value of x and y with its given value.

## The correct answer is: 1

### Given,

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The foot of the perpendicular on the line drown from the origin is C if the line cuts the x-axis and y-axis at A and B respectively then BC : CA is

Let direction ratios of the required line be <a, b, c>

Therefore a - 2 b - 2 c = 0

And 2 b + c = 0

Þ c = - 2 b

a - 2 b + 4b = 0 Þ a = - 2 b

Therefore direction ratios of the required line are <- 2b, b, - 2b> = <2, - 1, 2>

direction cosines of the required line

=

Therefore a - 2 b - 2 c = 0

And 2 b + c = 0

Þ c = - 2 b

a - 2 b + 4b = 0 Þ a = - 2 b

Therefore direction ratios of the required line are <- 2b, b, - 2b> = <2, - 1, 2>

direction cosines of the required line

=

The foot of the perpendicular on the line drown from the origin is C if the line cuts the x-axis and y-axis at A and B respectively then BC : CA is

maths-General

Let direction ratios of the required line be <a, b, c>

Therefore a - 2 b - 2 c = 0

And 2 b + c = 0

Þ c = - 2 b

a - 2 b + 4b = 0 Þ a = - 2 b

Therefore direction ratios of the required line are <- 2b, b, - 2b> = <2, - 1, 2>

direction cosines of the required line

=

Therefore a - 2 b - 2 c = 0

And 2 b + c = 0

Þ c = - 2 b

a - 2 b + 4b = 0 Þ a = - 2 b

Therefore direction ratios of the required line are <- 2b, b, - 2b> = <2, - 1, 2>

direction cosines of the required line

=