PUC Science इयत्ता ११ - Karnataka Board PUC Question Bank Solutions

If  \[A \cap B - B\] 

An investigator interviewed 100 students to determine the performance of three drinks: milk, coffee and tea. The investigator reported that 10 students take all three drinks milk, coffee and tea; 20 students take milk and coffee; 25 students take milk and tea; 12 students take milk only; 5 students take coffee only and 8 students take tea only. Then the number of students who did not take any of three drinks is 

For any two sets A and B, \[A \cap \left( A \cup B \right)'\]is equal to

Find the axes, eccentricity, latus-rectum and the coordinates of the foci of the hyperbola 25x² − 36y² = 225.

Find the equation of the hyperbola satisfying the given condition :

 foci (± \[3\sqrt{5}\] 0), the latus-rectum = 8

find the equation of the hyperbola satisfying the given condition:

 foci (± \[3\sqrt{5}\]  0), the latus-rectum = 8

find the equation of the hyperbola satisfying the given condition:

foci (0, ± 12), latus-rectum = 36

Write the eccentricity of the hyperbola whose latus-rectum is half of its transverse axis.

If the latus-rectum through one focus of a hyperbola subtends a right angle at the farther vertex, then write the eccentricity of the hyperbola.

The latus-rectum of the hyperbola 16x² − 9y² = 144 is

Find the equations of the circles which pass through the origin and cut off equal chords of \[\sqrt{2}\] units from the lines y = x and y = − x.

If the equation of a circle is λx² + (2λ − 3) y² − 4x + 6y − 1 = 0, then the coordinates of centre are

If 2x² + λxy + 2y² + (λ − 4) x + 6y − 5 = 0 is the equation of a circle, then its radius is