# Let the curve C be the mirror image of the parabola y^2=4x with respect to the line x+y+4=0. if A and B are the point of intersection of C with the line y=-5 ,then the distance between A and B is

Solution:  We have ,

$y^{2}=4x$   and   $x+y+4=0$

Intersection point of line   $x+y+4=0$ and   $y=-5.$

$\Rightarrow$                                    $x-5+4=0\Rightarrow x=1$

Intersection point parabola $y^{2}=4x$ and   Image line w.r to given line $x+y+4=0$

$y^{2}=4x\Rightarrow y^{2}=4\Rightarrow y=\pm 2$

Hence ,                $P(1,2)$   and     $Q(1,-2)$

$\therefore$                                       $PQ=AB=4.$

## Most Viewed Questions

### Preparation Products

##### Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 40000/-
##### Knockout NEET 2025

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 45000/-
##### NEET Foundation + Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 54999/- ₹ 42499/-
##### NEET Foundation + Knockout NEET 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
##### NEET Foundation + Knockout NEET 2025 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Boost your Preparation for JEE Main with our Foundation Course

Exams
Articles
Questions