TS Inter 2nd Year Mathematics 2B 2025 Most Expected Questions

TS Inter 2nd Year Mathematics 2B 2025 Most Expected Questions: The Telangana State Board of Intermediate Education has set March 15, 2025, as the date for the TS Inter 2nd year Mathematics 2B test. Candidates might consult the anticipated questions for the TS Inter 2nd Year Mathematics 2B test when they are preparing at the last minute. The anticipated questions for the TS Inter 2nd Year Mathematics 2B 2025 test have been made public by the CollegeDekho expert, who has taken into account the question patterns from prior years.

Also Read l TS Inter 2nd Year Mathematics 2B Guess Paper 2025

TS Inter 2nd Year Mathematics 2B 2025 Most Expected Questions

Check out the list of most expected questions for the TS Inter 2nd Year Mathematics 2B 2025 here in the following section:

1. Find the centre and radius of the circle x²+y² -4x-8y-41 = 0.
2. Find the value of ‘a’ if 2x²+ay² -3x+2y-1 = 0 represents a circle and find the radius of the circle.
3. Find the equation of the circle passing through (3,4) and having centre at (-3,4).
4. Find the equation of the circle having AB as diameter where A, B are (-4,3), (3,-4).
5. Find the equation of the circle concentric with x²+y² -6x-4y-12 = 0 and passing through (-2,14).
6. Find the value of k if the length of the tangent from the point (5,4) to the circle x² +y² +2ky = 0 is equal to 1.
7. Find the value of k if the points (1,3),(2,k) are conjugate with respect to x²+y² = 35.
8. Find the angle between the circles
   • x²+y² -12x-6y+41 = 0, x²+y²+4x+6y-59 = 0
   • x² +y² = a² , x² +y² = ax+ay
9. Find the coordinates of the point on the parabola
   • y2 = 8x whose focal distance is 10 
   • y2 = 2x whose focal distance is 5/2
10. If (1/2, 2) is one extremity of a focal chord of the parabola y2 = 8x, then find the other extremity.
11. If the eccentricity of a hyperbola is 5/4 then find the eccentricity of its conjugate hyperbola.
12. If the angle between the asymptotes of the hyperbola is 30° then find its eccentricity.
13. Find the product of lengths of the perpendiculars from any point on the hyperbola x ² /16 - y² /9 = 1 to its assymptotes.
14.  Find the area enclosed between the curve y = x³+3, y = 0 and x = -1, x = 2.
15. From the differential equation satisfying y = A cos3x+b sin3x where A and B are parameters. 
16. If a point P is moving such that the lengths of tangent drawn from P to x2+y2 -4x-6y-12 = 0 and x2+y2+6x+18y+26 = 0 are in the ratio 2:3, then find the equation of the locus of P.
17.  Find the centre, eccentricity, vertices, foci, length of latus rectum and the equations of directrices of the ellipse.
    • 9x² + 16y²  = 144
    •  9x²+16y² -36x+32y-92 = 0
18. Find the eccentricity, foci, directrices, length of the latus rectum of the hyperbola
    • x² -4y² = 4
    • 16y² -9x² = 144
19. Find the equations of the tangents to the hyperbola 3x² -4y² = 12, which are i). parallel ii). perpendicular to the line y = x - 7
20. Solve: (xy²+x)dx+(yx²+y)dy = 0.

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