Home
Class 12
MATHS
Match the following lists:...

Match the following lists:

Text Solution

Verified by Experts

(a) The poins the are O(0,0) , P (3,4) and Q(6,8). Then
`2a=PO+OQ`
`5+10=15`
or `a=(15)/(2)`
Also, the distance between the foci,
`2ae=(sqrt(6-3)^(2)+(8-4)^(2))=5`
or `e=(1)/(3)`
`or b^(2)=(225)/(4)(1-(1)/(9))=50`
`b=5sqrt(2)`
`2b=10sqrt(2)`
(b) We know that
`(1)/(SP)+(1)/(SQ)=(2a)/(16)`
or SQ=8
or PQ=10
(c) If the line `x=x+k` touches the ellipse o`9x^(2)+16y^(2)=144` then,
or `k=+-5`
(d) The sum of the distance of a point of the ellipe from the foci is 2a=8
Promotional Banner

Similar Questions

Explore conceptually related problems

Match the following list of microbes and their importance:

Match the following list of aminals with their level of organisation and choose the correct option.

Match the following list of bacteria and their commercially important products. {:("Bacterium","Product"),((i)"Aspergillus niger",(A)"Lactic acid"),((ii)"Acetobacter aceti",(B)"Butyric acid"),((iii)"Clostridium butylicum",(C)"Acetic acid"),((iv)"Lactobacillus",(D)"Citric acid"):} Choose the correct match.

Match the following list of bioactive substances and their roles. {:("Bioactive substance","Role"),((i)"Statin",(A)"Removal of oil stains"),((ii)"CyclosporinA",(B)"Removal of clots from blood vessels"),((iii)"Streptokinase",(C)"Lowering of blood cholesterol"),((iv)"Lipase",(D)"Immuno-suppressive agent"):} Choose the correct match.