If the locus of the image of the point λ^2,2λ in the line mirror x-y+1=0 (where λ is a parameter) is x-a^2=by-c where a,b,c∈I, then the value of…

Question

If the locus of the image of the point λ^2,2λ in the line mirror x-y+1=0 (where λ is a parameter) is x-a^2=by-c where a,b,c∈I, then the value of (a+b)/(c+b) is equal to

MARKS Content Team · Accepted Answer

Correct answer: 0.6. Let, h,k be the image of the point λ^2,2λ about the line x-y+1=0 (h-λ^2)/1=(k-2λ)/(-1)=(-2λ^2-2λ+1)/2 h+1=2λ…..i k=λ^2+1…..ii Put the value of λ from i in ii k-1=h+12^2 ⇒4y-1=x+1^2 Hence, a=-1, b=4 and c=1

If the locus of the image of the point $(λ^{2}, 2 λ)$ in the line mirror $x - y + 1 = 0$ (where $λ$ is a parameter) is ${(x - a)}^{2} = b (y - c)$ where $a, b, c \in I,$ then the value of $(\frac{a + b}{c + b})$ is equal to

Solution

More Straight Lines Questions

If the locus of the image of the point λ2,2λ in the line mirror x-y+1=0 (where λ is a parameter) is x-a2=by-c where a,b,c∈I, then the value of a+bc+b is equal to

Solution

More Straight Lines Questions

If the locus of the image of the point $(λ^{2}, 2 λ)$ in the line mirror $x - y + 1 = 0$ (where $λ$ is a parameter) is ${(x - a)}^{2} = b (y - c)$ where $a, b, c \in I,$ then the value of $(\frac{a + b}{c + b})$ is equal to