Please select a subject first
Advertisements
Advertisements
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
Concept: undefined >> undefined
Advertisements
For any two sets A and B, \[A \cap \left( A \cup B \right)'\]is equal to
Concept: undefined >> undefined
Find the axes, eccentricity, latus-rectum and the coordinates of the foci of the hyperbola 25x2 − 36y2 = 225.
Concept: undefined >> undefined
Find the equation of the hyperbola satisfying the given condition :
foci (± \[3\sqrt{5}\] 0), the latus-rectum = 8
Concept: undefined >> undefined
find the equation of the hyperbola satisfying the given condition:
foci (± \[3\sqrt{5}\] 0), the latus-rectum = 8
Concept: undefined >> undefined
find the equation of the hyperbola satisfying the given condition:
foci (0, ± 12), latus-rectum = 36
Concept: undefined >> undefined
Write the eccentricity of the hyperbola whose latus-rectum is half of its transverse axis.
Concept: undefined >> undefined
Write the length of the latus-rectum of the hyperbola 16x2 − 9y2 = 144.
Concept: undefined >> undefined
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.
Concept: undefined >> undefined
The latus-rectum of the hyperbola 16x2 − 9y2 = 144 is
Concept: undefined >> undefined
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.
Concept: undefined >> undefined
Write the length of the intercept made by the circle x2 + y2 + 2x − 4y − 5 = 0 on y-axis.
Concept: undefined >> undefined
Write the coordinates of the centre of the circle passing through (0, 0), (4, 0) and (0, −6).
Concept: undefined >> undefined
If the abscissae and ordinates of two points P and Q are roots of the equations x2 + 2ax − b2 = 0 and x2 + 2px − q2 = 0 respectively, then write the equation of the circle with PQ as diameter.
Concept: undefined >> undefined
Write the equation of the unit circle concentric with x2 + y2 − 8x + 4y − 8 = 0.
Concept: undefined >> undefined
If the radius of the circle x2 + y2 + ax + (1 − a) y + 5 = 0 does not exceed 5, write the number of integral values a.
Concept: undefined >> undefined
Write the area of the circle passing through (−2, 6) and having its centre at (1, 2).
Concept: undefined >> undefined
If the equation of a circle is λx2 + (2λ − 3) y2 − 4x + 6y − 1 = 0, then the coordinates of centre are
Concept: undefined >> undefined
If 2x2 + λxy + 2y2 + (λ − 4) x + 6y − 5 = 0 is the equation of a circle, then its radius is
Concept: undefined >> undefined
