Take Class 11 Tuition from the Best Tutors
Affordable fees 1-1 or Group class Flexible Timings Verified Tutors Search in
are roots of 
, where a, b, c, d, form a G.P. Prove that (q + p): (q – p) = 17:15. Asked by Vinay Last Modified
Answer 
Tasneem
It is given that a and b are the roots of x2 – 3x + p = 0
∴ a + b = 3 and ab = p … (1)
Also, c and d are the roots of
∴c + d = 12 and cd = q … (2)
It is given that a, b, c, d are in G.P.
Let a = x, b = xr, c = xr2, d = xr3
From (1) and (2), we obtain
x + xr = 3
⇒ x (1 + r) = 3
xr2 + xr3 =12
⇒ xr2 (1 + r) = 12
On dividing, we obtain
Case I:
When r = 2 and x =1,
ab = x2r = 2
cd = x2r5 = 32
Case II:
When r = –2, x = –3,
ab = x2r = –18
cd = x2r5 = – 288
Thus, in both the cases, we obtain (q + p): (q – p) = 17:15
read lessNow ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com
Ask a QuestionRecommended Articles
How To Choose The Right School For Children?
Quality education does not only help children to get a successful career and life, but it also hugely contributes to society. The formal education of every child starts from school. Although there are numerous schools, parents find it challenging to choose the right one that would fit their child. It is difficult for them...
Read full article >
The Trend of E-learning and it’s Benefits
E-learning is not just about delivering lessons online. It has a much broader scope that goes beyond manual paper or PowerPoint Presentations. To understand the reach of E-learning and how the whole process works in developing the Educational system, we will discuss a few points here. Let us find out how this new learning...
Read full article >
5 Engaging Activities For Children To Get...
Learning for every child starts from a very young age. While the formal methods include school curriculums and private lessons, the informal methods include dancing, music, drawing, and various fun-filling activities. Playing games and practising these types of activities helps the children get out of boredom and...
Read full article >
The Rising Problems in Indian Government School
With the mushrooming of international and private schools, it may seem that the education system of India is healthy. In reality, only 29% of children are sent to the private schools, while the remaining head for government or state funded education. So, to check the reality of Indian education system it is better to look...
Read full article >
Looking for Class 11 Tuition ?
Learn from the Best Tutors on UrbanPro
Are you a Tutor or Training Institute?
Join UrbanPro Today to find students near youThe best tutors for Class 11 Tuition Classes are on UrbanPro
The best Tutors for Class 11 Tuition Classes are on UrbanPro
