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

If y1 and y2 are the ordinates of two points P and Q on the parabola and y3 is the ordinate of the points of intersection of tangents at P and Q, then


A
y1,y2,y3 are in A.P.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
y1,y3,y2 are in A.P.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
y1,y2,y3 are in G.P.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
y1,y3,y2 are in G.P.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B y1,y3,y2 are in A.P.
Let the coordinates of P and Q be (at21,2at1) and (at22,2at2) respectively.
Then y1=2at1 and y2=2at2.
The coordinates of the point of intersection of the tangents at P and Q are (at1t2,a(t1+t2)).
y3=a(t1+t2)y3=y1+y22y1,y2,y3 are in A.P.

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