[OBJECTIVE]

Subject: Analytical Geometry

Time Allowed: 15 Minutes

Max Marks: 10

NOTE: Attempt this Paper on this Question Sheet only. Please encircle the correct option. Division of marks is given in front of each question. This Paper will be collected back after expiry of time limit mentioned above.

Part-I  Answer the following Questions, cutting and overwriting are not allowed. (10)

 

[SUBJECTIVE]

Subject: Analytical Geometry

Time Allowed: 2 Hours 45 Minutes

Max Marks: 50

NOTE: ATTEMPT THIS (SUBJECTIVE) ON SEPARATE ANSWER SHEET PROVIDED

 

Part-II  Give Short Answers, Each question carries equal marks. (20)

Q#1: Find equation of the straight line passing through the point p(0,-3,2) and parallel to the Straight line joining the points A(3,4,7) and B(2,7,5)

Q#2: Find an equation of the plane through the points (1,0,1) and (2,2,1) and perpendicular to the plane x-y-z+4=0.

Q#3: Show that he straight line (x+3)/2 = (y-4)/2 = z/3 is parallel to the plane 4x+2y+2z=9

Q#4: Find the intercepts of the given surface on the co-ordinate axes

x² + 4y² + 5xz – 2x + y – 3=0

Q#5: Find the center and radius of the sphere

x² + y² +z² + 3x – 4z + 1 = 0

 

Part-III  Give Long Answers, Each question carries equal marks. (30)