| The roots of the quadratic equation x2 - 16 = 0 are | {4,-4} |
| If α, β are the roots of 2x2 - 4x + 5 = 0 , then (α + 1)(β + 1) = | 11/2 |
| The value of (1 - tan245)/(1 + tan245) is | 0 |
| The value of 1 + sec 19°sin 71° is | 2 |
| The pair of linear equations 2x - 3y = 8 and 4x - 6y = 9 represents the following | none |
| The solution of system of equations x/2025 + y/2026 =2 and 2x/2025 - y/2026 =1 is | 2025, 2026 |
| The roots of quadratic equation 2x2 + x - 4 =0 are | [-1 + √33]/4 , [-1 - √33]/4 |
| The total surface area of a hemisphere solid having radius 7 cm is | 462cm 2 |
| If 5/x+1 + 1/y-3 =2 and 6/x+1 - 3/y-3 =1 then x =........ | 2 |
| Which term of GP 2, 2 √2, 4... is 128? | 8th |
| 4, 7, 10,... are in AP. The sum of 15 terms is | 375 |
| If a line is passing through the points (2, 5) and (x, 3) and its slope is 2. Then the value of 'x' is | 1 |
| The distance of point (2, 4) from x-axis is | 4 |
| The area of triangle with vertices (1, -1), (-4, 6) and (-3, -5) is | 24 |
| If A = 45°, then the value of sin A + cos A + cos 2A is ______. | √2 |
| cot(90° - θ) = ? | tan θ |
| If A is the set of odd numbers less than 6 and B is the set of prime factors of 30, then | A ≠ B |
| If the pair of equations 3x+4y=k and 9x+12y = 6 has infinite number of solutions, then the value of k is | 2 |
| The product of the zeroes of a polynomial x3 - 3x2 + x + 1 is | -1 |
| The sum of first n natural numbers is | n(n+1)/2 |
| tan 0° = ? | cot 2 80° - tan 2 10° |
| a 18 - a 14 = 32 is in AP, then the common difference is | 8 |
| If x < 0, y 0, then the point P(x,y) is in | 2nd quadrant |
| cosec 31° - sec 59° = | 0 |
| If a, b, c are in AP, then (a-b)/(b-c) is equal to | 1 |
| If A = {1,2,3,4,5} and_B = {1,3,5,7}, then n(A∩B)= | 3 |
| The zeroes of a quadratic polynomial x2 + x - 2 are | -2, 1 |
| Which of the following statement regarding probability of an event is correct? | 0 ≤ P(E) ≤ 1 |
| What is the probability of getting a number 7 in a single throw of a dice? | 0 |
| If one card is selected from a well-shuffled deck of 52 cards, then the probability of getting an ace card is | 1/13 |
| The mean of 20, 30, 38, 40, 50, 56, 60 is | 42 |
| If the equations x+2y=5 and 3x+ky=10 are inconsistent, then the value of k is | 6 |
| If the pair of linear equations a1 x + b1 y + c1 = 0 and a2 x + b2 + c2 = 0 represent coincident lines, then | a 1 /a 2 = b 1 /b 2 = c 1 /c 2 |
| From the top of the tower 60 meters high, the angle of depression of an object is 60°, then the distance of the object from the base of the tower is | 60/√3m |
| The angle of elevation of the top of the building from a point 10 meters away from the base of the building is 60°, then the height of the building is | 10/√3m |
| 5 + √7 is | irrational number |
| If x, y and z are distinct prime numbers, then the H.C.F. of x2 y3 z and x3 yz2 is | x2yz |
| The value of log3 81 is | 4 |
| What is the median of 18, 14, 6, 7, 8? | 8 |
| If the mean of x, y, 3, 4 is 5, then x + y =? | 13 |
| The mean and mode of 5, 3, 9, 1, 9, 8, 9, 4 is m and n respectively, the value of m+n is | 15 |
| LCM of 9, 12 and 15 is | 180 |
| Median of x, 20x, x/20, 200x, x/200 (x>0) is 20, then the value of x is | 20 |
| If 3x = 9x-1 , then the value of x is | 2 |
| Mode of the data 19, 2, 6, 12, 12, 3, 5, 6, 18, 14, 6, 17, 2 is | 6 |
| In ΔABC, DE || BC, if AD = x+1, DB = 3x-1, AE = x and EC = 4x-3, then the value of x is _____. | 1 |
| In ΔABC, if AB = 6√3 cm, AC = 12 cm and BC = 6 cm, then the angle B = | 90° |
| A regular brick is in the shape of | cuboid |
| A cylinder and a cone have bases of equal radii and heights, then the ratio of volumes is. | 3:1 |
| The ratio of the areas of two similar triangles is equal to the ratio of the ______ their corresponding sides. | square |
| In ΔPQR, ST || QR, PQ = 12 cm, PR = 24 cm and SP = 4 cm, then PT = | 8cm |
| The maximum number of parallel tangents that can be drawn to a circle | 1 |
| The parallelogram circumscribing a circle is a | rhombus |
| log2 is | an irrational number |
| The distance between two parallel tangents of a circle of radius 4 cm is | 8cm |
| In ∆ABC, DE is a line such that AD/DB = AE/EC and ∠EDA = ∠ACB, then ∆ABC is a/an | isosceles triangle |
| All the circles are ______. | similar |
| If angle between two radii of a circle is 120°, then the angle between the tangent and the ends of the radii is | 60° |
| A line which intersects a circle at two points is called as _______. | secant |
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