A line has intercepts a- b on axes when the axes are rotated through an angle - the line makes equal intercepts on axes then tan-

The correct option is B Equation of the lime x/a + y/b = 1 Transformed eqution is 1/a (x cosα y sinα) + 1/b(x sinα + y cosα) = 1 Intercepts are equal x c ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Parametric Equation of a Circle

A line has in...

Question

A line has intercepts a, b on axes when the axes are rotated through an angle $α$ , the line makes equal intercepts on axes then $tan α =$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
Equation of the lime $\frac{x}{a} + \frac{y}{b} = 1$
Transformed eqution is $\frac{1}{a} (x cos α - y sin α) + \frac{1}{b} (x sin α + y cos α) = 1$
Intercepts are equal
x - coefficient $\equiv$ y - coefficient
$∴ tan α = \frac{a - b}{a + b}$

Suggest Corrections

Similar questions

A

line has intercepts

a

and

b

on the co ordinate axes. When the axes are rotated through an angle

α

, keeping the origin fixed, the line makes equal intercepts on the coordinate axes, then

tan α =

Q. A line has intercepts

a

and

b

on the coordinate axes. When the axes are rotated through an angle

α

, keeping the origin fixed, the line makes equal intercepts on the coordinate axes, then

tan

α

Q. A line has intercepts

a

and

b

on the coordinate axes. When the axes are rotated through an angle

α

, keeping the origin fixed, the line makes equal intercepts on the coordinate axes.

Q. A line has intercepts

a

and

b

on the coordinate axes. When the axes are rotated through an angle

α

in anticlockwise direction, keeping the origin fixed, the line makes equal intercepts on the coordinate axes. Then the value of

cot α

Q. A line has intercepts

a

and

b

on the coordinate axes. When the axes are rotated through an angle

α

in anticlockwise direction, keeping the origin fixed, the line makes equal intercepts on the coordinate axes. Then the value of

cot α

Join BYJU'S Learning Program

A line has intercepts a, b on axes when the axes are rotated through an angle α, the line makes equal intercepts on axes then tanα=

The correct option is B Equation of the lime xa+yb=1 Transformed eqution is 1a(xcosα−ysinα)+1b(xsinα+ycosα)=1 Intercepts are equal x - coefficient ≡ y - coefficient ∴tanα=a−ba+b

A line has intercepts a, b on axes when the axes are rotated through an angle $α$ , the line makes equal intercepts on axes then $tan α =$

The correct option is B
Equation of the lime $\frac{x}{a} + \frac{y}{b} = 1$
Transformed eqution is $\frac{1}{a} (x cos α - y sin α) + \frac{1}{b} (x sin α + y cos α) = 1$
Intercepts are equal
x - coefficient $\equiv$ y - coefficient
$∴ tan α = \frac{a - b}{a + b}$