Description : The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is: (a) 12 units (b) 11 units (c) 5units (d) (7 + √5)units
Last Answer : (a) 12 units
Description : Points P,Q,R(in this order) divide the line joining the points A(-2,2) and B(2,8) into four equal parts. The coordinates of the point Q are: (a) (-1,7/2) (b) (1,13/2) (c) (0,5) (d) (5,1/2)
Last Answer : (c) (0,5)
Description : The point (-1,2) divides the line segment joining the points A(2,5) and B(x,y) in the ratio 3:4, then the value of x2 + y2 is : (a) 27 (b) 28 (c) 29 (d) 30
Last Answer : (c) 29
Description : The ratio in which P ( , B(2,-5) is : (a) 1:5 (b) 5:1 ) divides the line segment joining the points A ( , (c) 1:4 ) and (d) 4:1
Last Answer : (a) 1:5
Description : The points (-2,-1),(a,0),(4,b),(1,2) are the vertices of a parallelogram taken in order , then the values of a and b are: (a) a = 1,b = 3 (b) a = 3 , b = 1 (c) a = 1 , b = 1 (d) a = 0 , b = 4
Last Answer : (a) a = 1,b = 3
Description : If α , β are the zeroes of f(x) = px 2 – 2x + 3p and α + β = αβ then the value of p is: (a) 1/3 (b) -2/3 (c) 2/3 (d) -1/3
Last Answer : (c) 2/3
Description : Value of p(3) + p(1) =a) 0 b) 1 c) 2 d) 3
Last Answer : c) 2
Description : D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then, length of DE (in cm) is (a) 2.5 (b) 3 (c) 5 (d) 6
Last Answer : (b) 3
Description : A flag pole 18 m high casts a shadow 9.6 m long. Then the distance of the top of the pole from the far end of the shadow is (a) 25.6 (b) 20.4 (c) 23.7 (d) 32.5
Last Answer : (b) 20.4
Description : The coordinates of the points where 2x + 5y – 10 =0 meets y axis is e) (0 , 2) f) (0 , -2) g) (2 , 2) h) (-2 , -2)
Last Answer : e) (0 , 2)
Description : The coordinates of the points where 2x + 5y – 10 =0 meets y axis is a) (0 , 2) b) (0 , -2) c) (2 , 2) d) (-2 , -2)
Last Answer : a) (0 , 2)
Description : The points A (9, 0), B (9, 6), C (–9, 6) and D (–9, 0) are the vertices of a: A(-3,-5) and(a)Square (b) Rhombus (c) Rectangle (d) Trapezium
Last Answer : (c) Rectangle
Description : The points (-4, 0), (4, 0), (0, 3) are the vertices of a: (а) Right triangle (b) Isosceles triangle (c) Equilateral triangle (d) Scalene triangle
Last Answer : (b) Isosceles triangle
Description : The point which lies on the perpendicular bisector of the line segment joining the points B(3,5) is: (a) (-3,0) (b) (5,0) (c) (5,-5) (d) (0,0)
Last Answer : (d) (0,0)
Description : The coordinates of the points A and B are a) (0,4) and (2,0) b) (4,0) and (0,2) c) (0,4) and (0,2) d) (4,0) and (2,0)
Last Answer : b) (4,0) and (0,2)
Description : If α and 1/α are the zeroes of the polynomial ax2 + bx + c, then value of c is (a) 0(b) a (c) -a (d) 1
Last Answer : (a) 0
Description : If the centroid of △ABC in which A(a,b), B(b,c) and C(c,a) is at the origin, then the value of a3 + b3 + c3 is: (a) abc (b) 2abc (c) 3abc (d) 0
Last Answer : (c) 3abc
Description : In right triangle ABC, right angled at C, if tan A = 1, then the value of 2 sin A cos A is (a) 0 (b) 1 (c) – 1 (d) 2
Last Answer : (b) 1
Description : If Log2 x - 5 Log x + 6 = 0, then what would the value(s) of x be?
Last Answer : Answer: x = e2 or e3.
Description : The graph of the polynomial p(x) = 3x – 2 is a straight line which intersects the x-axis at exactly one point namely (a) (−2/3, 0) (b) (0, −2/3) (c) (2/3, 0) (d)( 2/3, −2/3)
Last Answer : (c) (2/3, 0)
Description : How do find an equation with a list of given points?
Last Answer : an equation for a line?
Description : Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial is: (a) Intersects x-axis (b) Intersects y-axis (c) Intersects y-axis or x-axis (d) None of the above
Last Answer : (a) Intersects x-axis
Description : The midpoint of the line segment joining the points B and D is: (a) (10,11) (b) (11,5) (c) (7/2,11/2) (d) (5,11/2)
Last Answer : (c) (7/2,11/2)
Description : The position of the fourth pole D so that the four points A, B, C and D form a parallelogram will be: (a) (5, 2) (b) (1, 5) (c) (1, 4) (d) (2, 5)
Last Answer : (b) (1, 5)
Description : The point which divides the line segment joining the points (7, –6) and (3, 4) in the ratio 1 : 2 lies in the: (a) I quadrant (b) II quadrant (c) III quadrant (d) IV quadrant
Last Answer : (d) IV quadrant
Description : If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is (a) 4 (b) 2 (c) 1 (d) 3
Last Answer : (b) 2
Description : ABCD is a parallelogram with diagonal AC If a line XZ is drawn such that XZ ∥ AB, then BX/XC = ? (a) (AY/AC) (b) DZ/AZ (c) AZ/ZD (d) AC/AY Answer: (c) AZ/ZD 13. In the given figure, value of x (in cm) is (a) 5cm (b) 3.6 cm (c) 3.2 cm (d) 10 cm
Last Answer : (a) 5cm
Description : If ̳α ‘ and ̳β ‘ are the zeroes of a quadratic polynomial x 2 − 5x + b and α − β = 1, then the value of ̳b‘ is (a) – 5 (b) 6 (c) 5 (d) – 6
Last Answer : (b) 6
Description : If one zero of the quadratic polynomial x 2 + 3x + k is 2, then the value of k is (a) 10 (b) –10 (c) 5 (d) –5
Last Answer : (b) –10
Description : If A(5,2), B(2,-2) and C(-2,t) are the vertices of a right angled triangle with ∠B = 900 , then the value of t is: (a) -1 (b) 1 (c) -2 (d) 2
Description : If (x, y) is a solution of the following pair of linear equations in two variables, then the value of expression (√ is: x + 2y = 4 and 3x - y = 5 (a) 2 (b) 3 (c) 4 (d) √2
Last Answer : (a) 2
Description : In the given figure, if AB = 14 cm, BD = 10 cm and DC = 8 cm, then the value of tan B is a) 4/3 b) 14/3 c) 11/3 d) 9/12
Last Answer : a) 4/3
Description : Given that sin A=1/2 and cos B=1/√2 then the value of (A + B) is: (a)30 (b)45 (c)75 (d)60
Last Answer : (c)75
Description : If x=y=2z and xyz=256 then what is the value of x? (a)12 (b)8 (c)16 (d)6
Last Answer : (b)8
Description : If diameter of a wheel is 1.26 m, what the distance covered in 500 revolutions? (a) 1.38 km (b) 4.64 km (c) 2.46 km (d) 1.98 km
Last Answer : (d) 1.98 km
Description : The distance AB is: (a) 7 units (b) 5 units (c) 3 units (d) 2 units
Last Answer : (b) 5 units
Description : The distance of the pole B from the corner O of the park is: (a) 6√2 units (b) 3√2 units (c) 6√3 units (d) 3√3 units
Last Answer : (a) 6√2 units
Description : The distance of the point C from the y-axis is: (a) 2 units (b) 4 units (c) 8 units (d) 12 units
Last Answer : (c) 8 units
Description : The shortest distance (in units) between the houses of Dhruv and Anish is: (a) 2√10 (b) 5√10 (c) 6√10 (d)7√10
Last Answer : (a) 2√10
Description : Zeroes of p(x) = x 2 -27 are: (a) ±9√3 (b) ±3√3 (c) ±7√3 (d) None of the above
Last Answer : (b) ±3√3
Description : What value/s can x take in the expression k(x – 10) (x + 10) = 0 where k is any real number. (a) 100, -100 (b) Infinitely many (c) Depends on value of k (d) 10, -10
Last Answer : (d) 10, -10
Description : The value of x and y which satisfy the equations : √ e) x=1,y=0 f) x=0,y=0 g) x=1,y=1 h) x=0,y=1
Last Answer : f) x=0,y=0
Description : The value of m obtained on solving equations : 2n + m =2n – m = √ a) 1/4 b) 0 c) 1/2 d) 3/4
Last Answer : b) 0
Description : The value of x and y which satisfy the equations : √ a) x=1,y=0 b) x=0,y=0 c) x=1,y=1 d) x=0,y=1
Last Answer : b) x=0,y=0
Description : Assertion (A) : The value of k for which the system of linear equations kx+2y+1=0 and 6x+4y-5=0 has a unique solution is 3. Reason (R):The system of linear equations a1x + b1y + c1= 0 and a2x + ... not the correct explanation of A. (c) A is correct; R is incorrect. (d) R is correct; A is incorrect.
Last Answer : (d) R is correct; A is incorrect.
Description : The value(s) of 'k' for which the following pair of linear equations will represent a pair of intersecting lines graphically is/are: 3x - 4y + 7 = 0 kx - 8y = 5 (a) k = 6 (b) k ≠ 6(c) any real number (d) any real number except 6
Last Answer : (d) any real number except 6
Description : The value of 2 tan 2 45°+ cos 2 30° − sin 2 60° is (a) 0 (b) 1 (c) -2 (d) 2
Last Answer : (d) 2
Description : The value of sin 60° cos 30° + sin 30° cos 60° is: a 0 b 1 c 2 d 4
Last Answer : b 1
Description : If α, β are the zeroes of the polynomial x2 – 16, then αβ(α + β) is (a) 0 (b) 4 (c) -4 (d) 16