The centres of those circles which touch the circle, x2+y2−8x−8y−4=0, externally and also touch the x-axis, lie on :
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Given the equation 4x2+23xy+2y2=1
. Through what angle should the axes be rotated so that the term xy
is removed from the transformed equation.
is a variable point on the lines ∣x∣
=6. IF AB≤4
, then find the number of position of B
with integral coordinates.
See Fig. 3.11 and complete the following statements:(i) The abscissa and the ordinate of the point B are _and _ Hence, the coordinates of B are (__,__).(ii) The x–coordinate and the y–coordinate of the point M are _ and _ respectively. Hence, the coordinates of M are (__,__).(iii) The x–coordinate and the y–coordinate of the point L are _ and _ respectively. Hence, the coordinates of L are (__,__).(iv) The .r–coordinate and the y–coordinate of the point S are _ and _ respectively. Hence, the coordinates of S are (__,__).
Express the polar equation r=2cosθ in rectangular coordinates.
Determine the ratio in which the line 2x +y – 4 = 0 divides the line segment joining the points A(2, – 2) and B(3,7).
At what point should the origin be shifted if the coordinates of a point (4,5)
Find the distance between the points (0, 0) and (36, 15).
The incenter of the triangle with vertices (1,3),(0,0), and (2,0) is (a)(1,23) (b) (32,31)
(c)(32,23) (d) (1,31)