wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If equation of the parabola is (6x+8yāˆ’5)2=60(8xāˆ’6y+9), then

A
Equation of axis of the parabola is 6x+8y5=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Equation of tangent at vertex of the parabola is 6x+8y5=0
No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
C
Length of latus rectum is 32 units
No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
D
Length of latus rectum is 6 units
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D Length of latus rectum is 6 units
(6x+8y5)2=60(8x6y+9)
(6x+8y562+82)2=6×(8x6y+982+62)

On comparing with (Distance from axis)2=L.L.R.(distance from T.V.),
equation of axis of the parabola is 6x+8y5=0
equation of tangent at vertex of the parabola is 8x6y+9=0
Length of latus rectum (L.L.R.)=6 units

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon