Normals at two points (x1y1)a n d(x2, y2...

Normals at two points `(x_1y_1)a n d(x_2, y_2)` of the parabola `y^2=4x` meet again on the parabola, where `x_1+x_2=4.` Then `|y_1+y_2|` is equal to `sqrt(2)` (b) `2sqrt(2)` (c) `4sqrt(2)` (d) none of these

`sqrt2`

`2sqrt2`

`4 sqrt2`

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MATHEMATICS
FIITJEE|Exercise ASSERTION REASONING|8 Videos
MATHEMATICS
FIITJEE|Exercise MCQ (MULTIPLE CORRECT)|30 Videos
MATHEMATICS
FIITJEE|Exercise ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)|130 Videos
MATHEMATICAL REASONING
FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos
MATHEMATICS TIPS
FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

Normals at two points (x_1,x_2) and (x_2,y_2) of the parabola y^2=4x meet again on the parabola, where x_1+x_2=4 , then |y_1+y_2| is equal to

Normals at two points (x_(1)y_(1)) and (x_(2),y_(2)) of the parabola y^(2)=4x meet again on the parabola,where x_(1)+x_(2)=4. Then |y_(1)+y_(2)| is equal to sqrt(2)(b)2sqrt(2)(c)4sqrt(2) (d) none of these

Normals at two points (x_(1) ,y_(1)) and (x_(2), y_(2)) of the parabola y^(2)=4x meet again on the parabola where x_(1)+x_(2)=4 .Then sqrt(2)|y_(1)+y_(2)| =

If the normals at two points (x_(1),y_(1)) and (x_(2),y_(2)) of the parabola y^(2)=4x meets again on the parabola, where x_(1)+x_(2)=8 then |y_(1)-y_(2)| is equal to

If normals at points (a,y_(1)) and (4-a, y_(2)) to the parabola y^(2)=4x meet again on the parabola , then |y_(1)+y_(2)| is equal to (sqrt2=1.41)

If the normals at the points (x_(1),y_(1)),(x_(2),y_(2)) on the parabola y^(2)=4ax intersect on the parabola then

Prove that the normals at the points (1,2) and (4,4) of the parabola y^(2)=4x intersect on the parabola

If y=2x+3 is a tangent to the parabola y^(2)=24x, then is distance from the parallel normal is 5sqrt(5)(b)10sqrt(5)(c)15sqrt(5)(d) None of these

The shortest distance between the parabolas 2y^(2)=2x-1 and 2x^(2)=2y-1 is 2sqrt(2) (b) (1)/(2)sqrt(2)(c)4(d)sqrt((36)/(5))

The circle x^(2)+y^(2)=5 meets the parabola y^(2)=4x at P and Q. Then the length PQ is equal to (A)2(B)2sqrt(2)(C)4(D) none of these

FIITJEE-MATHEMATICS -OBJECTIVE

For all real values of a and b lines (2a + b) x + (a + 3b) y + (b - 3a...
Text Solution
|
A line of slope lambda(0<lambda<1) touches the parabola y+3x^2=0 at Pd...
Text Solution
|
Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...
Text Solution
|
If A (3,1) and B (-5,7) are any two given points, If P is a point one ...
Text Solution
|
Let f (x) = sin x - ax and g (x) - sin x - bx, where 0 lt a,b, lt 1 Su...
Text Solution
|
If sin ^(-1)((1 - x ^(2))/(1 + x ^(2)))+ cos ^(-1) ((2x )/(1 +x ^(2)))...
Text Solution
|
From a point P outside a circle with centre at C, tangents PA and PB a...
Text Solution
|
the equation of the radical axis of the two circles 7x^2+7y^2-7x+14y+...
Text Solution
|
Point on the curve y ^(2) = 4 (x -10) which is nearest to the line x ...
Text Solution
|
If (t,0) is point on diameter of circle x ^(2) + y ^(2) =4, then the e...
Text Solution
|
The locus of mid-point of family of chords lamda x + y - 5 =0 (paramet...
Text Solution
|
If the tangents at two points (1,2) and (3,6) on a parabola intersect ...
Text Solution
|
In triangle ABC, angle C = 120^(@). If h be the harmonic mean of the l...
Text Solution
|
sin ((1)/(5) cos ^(-1) x)=1 has
Text Solution
|
The circle C has radius 1 and touches the line L and P. The point X li...
Text Solution
|
Let E be the ellipse (x^2)/9+(y^2)/4=1 and C be the circle x^2+y^2=9 ....
Text Solution
|
An ellipse has the points (1, -1) and (2,-1) as its foci and x + y = 5...
Text Solution
|
Let K = 1 ^(@), then 2 sin 2K + 6 sin 6K + ….+ 180 sin 180 k is equal...
Text Solution
|
The maximum area of a traingle whose sides a,b,c satify 0 le a le 1,1 ...
Text Solution
|
The minimum distance between the circle x^2 +y^2=9 and the curve 2x^2...
Text Solution
|