Quantitative aptitude
This query is : Resolved
28 January 2014
How to solve this problem
The gradient of the curve y minus xy plus 2px plus 3qy is equal to 0 at the point (3,2)is minus 2/3, the values of p and q are...
The gradient of the curve y minus xy plus 2px plus 3qy is equal to 0 at the point (3,2)is minus 2/3, the values of p and q are...
29 January 2014
ans. p=1/2 q=1/6
Problem related to caluculas
only point to remeber is slope means dy/dx
and formula of dy/dx(xy)
solution:
Differentiating the given equation, we get
dy/dx - xdy/dx - y + 2p + 3qdy/dx = 0.
If we put the value of slope = dy/dx = -2/3,
the value of x = 3 and the value of y = 2, then we get:
(-2/3) - 3(-2/3) - (2) + 2p + 3q(-2/3) = 0.
So,3p-3q= 1
3p=1+3q. ....(1)
the point (3, 2) passes through the curve given.
Therefore, 2 - (3)(2) + 2(p)(3) + 3(q)(2) = 0. So, 3p + 3q = 2.......(2)
substitute (1) in (2)
we get q = 1/6.
keep q= 1/6 in (1) or (2)
.
can get p = 1/2
Problem related to caluculas
only point to remeber is slope means dy/dx
and formula of dy/dx(xy)
solution:
Differentiating the given equation, we get
dy/dx - xdy/dx - y + 2p + 3qdy/dx = 0.
If we put the value of slope = dy/dx = -2/3,
the value of x = 3 and the value of y = 2, then we get:
(-2/3) - 3(-2/3) - (2) + 2p + 3q(-2/3) = 0.
So,3p-3q= 1
3p=1+3q. ....(1)
the point (3, 2) passes through the curve given.
Therefore, 2 - (3)(2) + 2(p)(3) + 3(q)(2) = 0. So, 3p + 3q = 2.......(2)
substitute (1) in (2)
we get q = 1/6.
keep q= 1/6 in (1) or (2)
.
can get p = 1/2
You need to be the querist or approved CAclub expert to take part in this query .
Click here to login now
Click here to login now
Similar Resolved Queries
Unanswered Queries
- CG Tax On residential property
- Applicable TDS for Purchase of Flat from NRI
- Claiming exemption of perquisite for employee-owned car under New Tax Regime in ITR-2
- Pass word to open justification report for Q1 for FY 2026-27
- Gift of mutual fund units to daughter
- PPF interest-As Exempt Income disclosure
- Under construction property in ITR
- Not able to file ITR
- Building tax payment deduction in rental Income
- NRI ITR2 account in 2025-26 ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.
- PF Taxable Income
- Clarification on Tax Audit Applicability and Reporting of F&O Transactions in ITR-3
- Interest credited in FY2025-2026 & TDS therein by EPFO does not reflect in AIS or Form 26AS
- 44ad eligble money lending interest
- Delisted shares sold in off market/ Rebate u/s87A
- In Exports Sales HSN details where to fill
- Opting out" of regime provided under subsection (1A) of Section 115BAC but Form 10IEA is not filed.
- Difference in tax comparison report
- Gst invoice numbering and delivery challan numbering
- Sales amount in Gstr1
Trending Online Classes
-
DT & Audit (Exam Oriented Fastrack Batch) - For May 26 Exams and onwards Full English
CA Bhanwar Borana & CA Shubham Keswani
Subscribe to Pro
Join an elite circle of professionals
CAclubindia
