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).
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 .
AP EAMCET 2016 Notification, Exam Key, Results dates
The government of Andhra Pradesh has released the detailed information about AP EAMCET - 2016. The notification will be released on 29 th January 2016. The online application process will start from 3rd March 2016.
EAMCET 2016 engineering exam will be held in the morning session on 29 April 2016. Medical exam will be conducted in the evening session on the same day.
The online application can be submitted till 21 March 2016. The preliminary key will be announced on 1 May 2016. The final results of engineering and medical streams will be released in 16 May 2016.
About 2.7 lakhs candidates are expected to take the exam. There will be exam centers in Hyderabad also.
EAMCET 2016 engineering exam will be held in the morning session on 29 April 2016. Medical exam will be conducted in the evening session on the same day.
The online application can be submitted till 21 March 2016. The preliminary key will be announced on 1 May 2016. The final results of engineering and medical streams will be released in 16 May 2016.
About 2.7 lakhs candidates are expected to take the exam. There will be exam centers in Hyderabad also.
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