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Subject : Mathematics Date : DPP No. : 42 DPP No. – 01 Class : XI Course : Total Marks : 20 Max. Time : 19 min. Single choice Objective ('–1' negative marking) Q.1, 2, 3, 4, 5 (3 marks 3 min.) [15, 15] Multiple choice objective ('–1' negative marking) Q.6 (5 marks 4 min.) [5, 4] Ques. No. 1 2 3 4 5 6 Total Mark obtained 1. A circle is concentric with circle x2 + y2  2x + 4y  20 = 0 . If perimeter of the semicircle is 36 then the equation of the circle is : [ use  = 22/7 ] (A*) x2 + y2  2x + 4y  44 = 0 (B) (x  1)2 + (y + 2)2 = (126/11)2 (C) x2 + y2  2x + 4y  43 = 0 (D) x2 + y2  2x + 4y  49 = 0 2. Chords of the curve 4x2 + y2 – x + 4y = 0 which subtend a right angle at the origin pass through a fixed point whose co-ordinates are : (A*)  1 ,  4  (B)  1 , 4 (C)  1 , 4 (D)  1 ,  4  5 5  5 5  5 5  5 5 3. A is a point on either of two rays y + |x| = 2 at a distance of units from their point of intersection. The coordinates of the foot of perpendicular from A on the bisector of the angle between them are (A)   2   , 2  (B*) (0, 0) (C)  2   , 2  (D) (0, 4) 4. The equation of the image of the circle x2 + y2 + 16x  24y + 183 = 0 in the line mirror 4x + 7y + 13 = 0 is: (A) x2 + y2 + 32x  4y + 235 = 0 (B) x2 + y2 + 32x + 4y  235 = 0 (C) x2 + y2 + 32x  4y  235 = 0 (D*) x2 + y2 + 32x + 4y + 235 = 0 5. The circle x2 + y2 + 4x – 7y + 12 = 0 cuts an intercept on y-axis of length (A) 3 (B) 4 (C) 7 (D*) 1 6. In a parallelogram as shown in the figure (a  b) : (A*) equation of the diagonal AC is (a + b) x + (a + b)y = 3 ab (B*) equation of the diagonal BD is u u  u u = 0 (C*) co-ordinates of the points of intersection of the D u1  bx + ay = ab C A  3ab 3ab  two diagonals are  ,  2(a  b)  2(a  b)  (D) the angle between the two diagonals is /3. Subject : Mathematics Date : DPP No. : 43 DPP No. – 02 Class : XI Course : Total Marks : 25 Max. Time : 26 min. Comprehension ('–1' negative marking) Q.1 to Q.3 (3 marks 3 min.) [9, 9] Single choice Objective ('–1' negative marking) Q.4, 5, 6 (3 marks 3 min.) [9, 9] Subjective Questions ('–1' negative marking) Q.7 (4 marks 5 min.) [4, 5] Assertion and Reason (no negative marking) Q.8 (3 marks 3 min.) [3, 3] Ques. No. 1 2 3 4 5 6 7 8 Total Mark obtained Comprehension (1 to 3) Consider the triangle ABC having vertex A (1, 1) and its orthocentre is (2, 4). Also side AB & BC are members of the family of line, ax + by + c = 0 where a, b, c are in A.P. 1. the vertex B is : (A) (2, 1) (B*) (1, –2) (C) (–1, 2) (D) None of these 2. the vertex C is : (A) (4, 16) (B) (17, –4) (C) (4, –17) (D*) (–17, 4) 3.  ABC is a : (A*) obtuse angled triangle (B) Right angled triangle (C) Acute angled triangle (D) Equilaterial triangle 4. The family of straight lines 3(a + 1) x – 4 (a – 1) y + 3 (a + 1) = 0

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