Prof G Ram Reddy Centre for Distance Education (PGRRCDE), Osmania
University, Hyderabad has released admission notification inviting
applications for PG Courses for the academic year 2016-17.
Professional Courses: MBA/ MCA
PG Courses: M.A. (Hindi / Telugu / Sanskrit / Urdu/ English/
Philosophy / Sociology / Public Personnel Mgt./ Economics / Pol.
Science / History/ Psychology) and M.Com; M.Sc. (Mathematics/
Statistics)
Admission Procedure: Candidates nearer to admission centres of PGRRCDE
(SAP College-Vikarabad, Peoples College Tandur, Govt. Degree College-
Medak, Tara Degree College- Sangareddy, Govt. Degree College Siddipet)
can take Admission directly at the Centre.
Last date for all PG courses with Rs.500 late fee: 5 March 2016.
Senior Inter Mathematics Paper 2B - Important Questions for AP and TS Board Exams
1. If the length of the tangent drawn from the point (5, 4) to the circle x2 + y2 + 2ky = 0 is 1, find the value of k.
2. Find the length of the chord of the circle x2 + y2 = a2 on the line x cos α + y sin α = p.
3. If x2 + y2 + 4x + 8 = 0 and x2 + y2 − 16y + k = 0 represent two orthogonal circles, then find k.
4. If one end of the focal chord of the parabola y2 = 8x is ( 1−2, 2) find the other end.
5. If 3x − 4y + k = 0 is the tangent to the hyperbola x2 − 4y2 = 5, then find k.
6. Show that the line x + y + 1 = 0 touches the circle x2 + y2 − 3x + 7y + 14 = 0. Also find the point of contact.
7. If the line 2x + 3y = 1 cuts the circle x2 + y2 = 4 in A and B, find the equation of the circle with AB as diameter.
8. Find the equation of the tangent to the ellipse 9x2 + 16y2 = 144 and which makes equal intercepts on the coordinate axes.
9. Obtain the differential equation which corresponds to each of the following family of curves:
i) The circles which touch the Y - axis at the origin.
ii) The parabolas having their foci at the origin and axis along the X - axis.
11. Find the locus of mid points of the chords of contact of x2 + y2 = a2 from the points lying on the line lx + my + n = 0.
12. Find the equations of all common tangents to the circles x2 + y2 = 9 and x2 + y2 − 16x + 2y + 49 = 0.
13. Show that the equations of common tangents to the circle x2 + y2 = 2a2 and the parabola y2 = 8ax are y = ± (x + 2a).
2. Find the length of the chord of the circle x2 + y2 = a2 on the line x cos α + y sin α = p.
3. If x2 + y2 + 4x + 8 = 0 and x2 + y2 − 16y + k = 0 represent two orthogonal circles, then find k.
4. If one end of the focal chord of the parabola y2 = 8x is ( 1−2, 2) find the other end.
5. If 3x − 4y + k = 0 is the tangent to the hyperbola x2 − 4y2 = 5, then find k.
6. Show that the line x + y + 1 = 0 touches the circle x2 + y2 − 3x + 7y + 14 = 0. Also find the point of contact.
7. If the line 2x + 3y = 1 cuts the circle x2 + y2 = 4 in A and B, find the equation of the circle with AB as diameter.
8. Find the equation of the tangent to the ellipse 9x2 + 16y2 = 144 and which makes equal intercepts on the coordinate axes.
9. Obtain the differential equation which corresponds to each of the following family of curves:
i) The circles which touch the Y - axis at the origin.
ii) The parabolas having their foci at the origin and axis along the X - axis.
11. Find the locus of mid points of the chords of contact of x2 + y2 = a2 from the points lying on the line lx + my + n = 0.
12. Find the equations of all common tangents to the circles x2 + y2 = 9 and x2 + y2 − 16x + 2y + 49 = 0.
13. Show that the equations of common tangents to the circle x2 + y2 = 2a2 and the parabola y2 = 8ax are y = ± (x + 2a).
Ramadevi Public School Hyderabad Admissions 2016-17 for LKG, UKG and Class 1
Ramadevi Public School, Hyderabad has issued admission notification for the academic year 2016-17. Admissions are open for Classes LKG, UKG and Class 1. The Ramadevi Public School follows ICSE curriculum upto Class X. The school is promoted by Ramadevi Trust / Ramoji Rao of Eenadu / ETV group.
The application forms are available in the school office from 8th February to 20th February 2016 during office timings from 10 AM to 3 PM. There will be oral interviews for the shortlisted candidates / parents.
The schools is located near Ramoji Film City (RFC) on the national highway 9. The school has good sporting facilities along with scouts and guides and NCC.
Address: Ramadevi Public School, Off. National Highway 9, Near Ramoji Film City, Hyderabad - 501 512. Phone: 040 - 3290 8048 / 3294 6671 / 99899 90738. Website: www.ramadevipublicschool.com .
The application forms are available in the school office from 8th February to 20th February 2016 during office timings from 10 AM to 3 PM. There will be oral interviews for the shortlisted candidates / parents.
The schools is located near Ramoji Film City (RFC) on the national highway 9. The school has good sporting facilities along with scouts and guides and NCC.
Address: Ramadevi Public School, Off. National Highway 9, Near Ramoji Film City, Hyderabad - 501 512. Phone: 040 - 3290 8048 / 3294 6671 / 99899 90738. Website: www.ramadevipublicschool.com .
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