# The area of the triangle formed by the axes and the line (cosh α – sinh α)x +(cosh α+ sinh α)y=2, in square units is

1.  1

2.  2

3.  3

4.  4

4

2

Explanation :
No Explanation available for this question

# The equation of a straight line passing through the point(1,2) and inclined at 450 to the line y=2x+1 is

1.  5x+y=7

2.  3x+y=5

3.  x + y=3

4.  x-y+1=9

4

3x+y=5

Explanation :
No Explanation available for this question

# A point moves in the xy-plane such that the sum of its distance from two mutually perpendicular lines is always equal to 5 units. The area (in square units ) enclosed by the locus of the

1.  25/4

2.  25

3.  50

4.  100

4

50

Explanation :
No Explanation available for this question

# The distance between the parallel lines given by (x + 7y)2+4√2(x+7y)-42=0 is

1.  4/5

2.  4√2

3.  2

4.  10√2

4

2

Explanation :
No Explanation available for this question

# If the area of the triangle formed by the pair of lines 8x2-6xy+y2=0 and the line 2x + 3y = a is 7 then

1.  14

2.  14√2

3.  28√2

4.  28

4

28

Explanation :
No Explanation available for this question

# Given the circle C with the equation x2+y2 - 2x +10y-38 =0 Match the List – I with the List – II given bel

1.  I – c , II – a, III – e, IV – b

2.  I – d , II – e, III – a, IV – b

3.  I – c , II – e, III – a, IV – b

4.  I – d , II – b, III – a, IV –e

4

I – c , II – e, III – a, IV – b

Explanation :
No Explanation available for this question

# Consider the circle x2+y2-4x-2y +c = 0 whose centre is A(2, 1). If the point P(10, 7) is such that the line segment PA

1.  -15

2.  20

3.  30

4.  -20

4

-20

Explanation :
No Explanation available for this question

# If the line x + 3y = 0 is the tangent at (0, 0) to circle of radius 1, then the centre of one such circle is

1.  (3,0)

2.  (-1/√10,3/√10)

3.  (3/√10,-3/√10)

4.  (1/√10,3/√10)

4

(1/√10,3/√10)

Explanation :
No Explanation available for this question

# A circle passes through the point (3,4) and cuts the circle x2+y2 = a2 orthogonally; the locus of its centre is a straight line. If the distance of this straight line from the origin is 25, the

1.  250

2.  225

3.  100

4.  25

4

225

Explanation :
No Explanation available for this question

1.  8x-4y-15=0

2.  8x-4y+15=0

3.  3x-4y-5=0

4.  3x-4y+5=0

4