If y1,y2, are the oridinate of two points Pand Q on the parabola and y3 is the oridinate of the point of intersection of tangents at P and Q, then

1.  Y1,y2,y3 are in A.P

2.  Y1,y2,y3 are in A.P

3.  Y1,y2,y3 are in G.P

4.  Y1,y2,y3 are in G.P

View Answer  
4
Correct Answer :

Y1,y2,y3 are in A.P


Explanation :
No Explanation available for this question

AB,AC are tangents to a parabola y2= 4ax. If l1,l2,l3 are the lengths of perpendiculars from A,B,C on any tangent to the parabola,then

1.  L1,l2 l3 are in G.P

2.  L1,l2 l3 are in G.P

3.  L1,l2,l3 are in A.P

4.  L1,l2,l3 are in A.P

View Answer  
4
Correct Answer :

L1,l2 l3 are in G.P


Explanation :
No Explanation available for this question

A straight line which makes equal intercepts on positive  X and Y axes and which is at a distance 1 unit from the origin intersects the straight line  y =2x+3+√2 at (x0, y0). Then 2x0

1.  3+√2

2.  √2-1

3.  1

4.  0

View Answer  
4
Correct Answer :

√2-1


Explanation :
No Explanation available for this question

The point of concurrence of the lines (3k+1) x-(2k+3)y+(9-k)=0 is

1.   (1, 1)

2.  (1, -1)

3.  (3, 4)

4.  (-2, 1)

View Answer  
4
Correct Answer :

(3, 4)


Explanation :
No Explanation available for this question

The point of the concurrence of the lines (a+2b) x+(a-b)y+(a+5b)=0 is

1.   (-1, 2)

2.  (2, -1)

3.  (-2, 1)

4.  (1, -2)

View Answer  
4
Correct Answer :

(-2, 1)


Explanation :
No Explanation available for this question

The point of concurrence of the lines (2a+5b) x+(3a-2b)y-5a-3b=0 is

1.   (1, 1) 

2.  (1, -1)

3.  (2, 2)

4.  ( -2, 2)

View Answer  
4
Correct Answer :

 (1, 1) 


Explanation :
No Explanation available for this question

If θ is the parameter, then the family of lines (2 cos θ +3 sin θ)x +(3 cos θ -5 sin θ)y-(5cos θ -2sin θ)=0 pass through the fixed point

1.  (0, 0)

2.   (1, 1)

3.  (0, 1)

4.  (1, 0)

View Answer  
4
Correct Answer :

(1, 1)


Explanation :
No Explanation available for this question

If a,b,c are in  A.P, the lines  ax + by+c=0 pass through  the fixed point

1.  (1, 2)

2.  (-1, 2)

3.  (1, -2)

4.  (-1, -2)

View Answer  
4
Correct Answer :

(1, -2)


Explanation :
No Explanation available for this question

If a, b, c are in A.P, the lines ax + by+c=0

1.  Pass through a fixed point

2.  Form an equilateral triangle

3.  Form a rhombus

4.  Form a square

View Answer  
4
Correct Answer :

Pass through a fixed point


Explanation :
No Explanation available for this question

If 3a+2b+4c=0 then the lines ax+by+c=0 pass through the fixed point

1.  (3/4, 1/2)

2.  (-3/4, 1/2)

3.  (3/4, -1/2)

4.  (-3/4, -1/2)

View Answer  
4
Correct Answer :

(3/4, 1/2)


Explanation :
No Explanation available for this question
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