Home
Class 12
MATHS
The number of values of c such that the ...

The number of values of c such that the straight line `y=4x+c` touches the curve `(x^(2))/(4)+y^(2)=1` is k then,`k` is

A

0

B

4

C

7

D

none

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 2 : Single Option Correct Type)|15 Videos

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : One or More than One Option Correct Type)|15 Videos

  • COMPLEX NUMBERS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 3 : One or More than One Option Correct Type (2 Marks) )|3 Videos

  • DEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|5 Videos

Similar Questions

Explore conceptually related problems

The number of values of c such that the straight line 3x+4y=c touches the curve (x^(4))/(2)=x+y is

The number of values of c such that the straight line y=4x+c touches the curve (x^(2))/(4)+(y^(2))/(1)=1 is 0(b)1 (c) 2 (d) infinite

The line y = 4x + c touches the hyperbola x^(2) - y^(2) = 1 if

A straight line x=y+2 touches the circle 4(x^(2)+y^(2))=r^(2), The value of r is:

The line 3x+5y=k touches the ellipse 16x^(2)+25y^(2)=400 ,if k is

The number of circles that touch all the straight lines x+y-4=0, x-y+2=0 and y=2 , is

If the line y=sqrt(3)x+k touches the circle x^(2)+y^(2)=16, then find the value of k

If the line ax + y = c , touches both the curves x^(2) + y^(2) =1 and y^(2) = 4 sqrt2x , then |c| is equal to:

Find k , if the line y = 2x + k touches the circle x^(2) + y^(2) - 4x - 2y =0