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Statement 1: if the tangent at any point is equally Inclined to both the axes then dy/dx=(+or -) 1 Statement:2 : if the tangent at any point makes an equal intercept on the coordinate axes then dy/dx =-1 Are these two statements correct ?? If yes , then my doubt is that if a line is given and it is equally inclined to the axes then it will also make equal intercepts with the axes. Then both the statements will be true simultaneously. Then what will be the slope of the line--( +or - 1) or - 1

Statement 1: if the tangent at any point is equally 
                        Inclined to both the axes then                                      dy/dx=(+or -)  1
Statement:2 : if the tangent at any point makes
                         an equal intercept on the                                             coordinate axes then dy/dx =-1
 
Are these two statements correct ?? If yes , then my doubt is that if a line is given and it  is equally inclined to the axes  then it will also make equal intercepts with the axes.   Then both the statements will be true simultaneously. Then what will be  the slope of the line--( +or - 1) or - 1

Grade:12

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4407 Points
4 years ago
intercept can be negative so its possible that x intercept is 1 and y is -1 in that case
m=-1

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