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Answer the following :
Find the centre and radius of the circle x2 + y2 − x +2y − 3 = 0
Concept: undefined >> undefined
Answer the following :
Find the centre and radius of the circle x = 3 – 4 sinθ, y = 2 – 4cosθ
Concept: undefined >> undefined
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Answer the following :
Find the equation of circle passing through the point of intersection of the lines x + 3y = 0 and 2x − 7y = 0 whose centre is the point of intersection of lines x + y + 1 = 0 and x − 2y + 4 = 0
Concept: undefined >> undefined
Answer the following :
Find the equation of circle which passes through the origin and cuts of chords of length 4 and 6 on the positive side of x-axis and y-axis respectively
Concept: undefined >> undefined
Answer the following :
Show that the points (9, 1), (7, 9), (−2, 12) and (6, 10) are concyclic
Concept: undefined >> undefined
The line 2x − y + 6 = 0 meets the circle x2 + y2 + 10x + 9 = 0 at A and B. Find the equation of circle on AB as diameter.
Concept: undefined >> undefined
Answer the following :
Find the equation of the circle concentric with x2 + y2 – 4x + 6y = 1 and having radius 4 units
Concept: undefined >> undefined
Answer the following :
Show that the circles touch each other externally. Find their point of contact and the equation of their common tangent:
x2 + y2 – 4x + 10y +20 = 0,
x2 + y2 + 8x – 6y – 24 = 0.
Concept: undefined >> undefined
Answer the following :
Show that the circles touch each other externally. Find their point of contact and the equation of their common tangent:
x2 + y2 – 4x – 10y + 19 = 0,
x2 + y2 + 2x + 8y – 23 = 0.
Concept: undefined >> undefined
Answer the following :
Show that the circles touch each other internally. Find their point of contact and the equation of their common tangent:
x2 + y2 – 4x – 4y – 28 = 0,
x2 + y2 – 4x – 12 = 0
Concept: undefined >> undefined
Answer the following :
Show that the circles touch each other internally. Find their point of contact and the equation of their common tangent:
x2 + y2 + 4x – 12y + 4 = 0,
x2 + y2 – 2x – 4y + 4 = 0
Concept: undefined >> undefined
Answer the following :
Find the length of the tangent segment drawn from the point (5, 3) to the circle x2 + y2 + 10x – 6y – 17 = 0
Concept: undefined >> undefined
There are four pens: Red, Green, Blue, and Purple in a desk drawer of which two pens are selected at random one after the other with replacement. State the sample space and the following event.
A: Selecting at least one red pen.
Concept: undefined >> undefined
There are four pens: Red, Green, Blue, and Purple in a desk drawer of which two pens are selected at random one after the other with replacement. State the sample space and the following event.
B: Two pens of the same color are not selected.
Concept: undefined >> undefined
A coin and a die are tossed simultaneously. Enumerate the sample space and the following event.
A: Getting a Tail and an Odd number
Concept: undefined >> undefined
A coin and a die are tossed simultaneously. Enumerate the sample space and the following event.
B: Getting a prime number
Concept: undefined >> undefined
A coin and a die are tossed simultaneously. Enumerate the sample space and the following event.
C: Getting a head and a perfect square.
Concept: undefined >> undefined
Find n(S) of the following random experiment.
From an urn containing 5 gold and 3 silver coins, 3 coins are drawn at random
Concept: undefined >> undefined
Find n(S) of the following random experiment.
5 letters are to be placed into 5 envelopes such that no envelope is empty.
Concept: undefined >> undefined
Find n(S) of the following random experiment.
6 books of different subjects arranged on a shelf.
Concept: undefined >> undefined
