If there are 1024 relations from set 𝐴={1,2,3,4,5} to set 𝐵, then the number of elements in 𝐵 is

If 𝑓∶𝐴→𝐵 is a bijective function and if (𝐵)=7, then 𝑛(𝐴) is equal to

If 𝑔 = {(1,1),(2,3),(3,5),(4,7)} is a function given by 𝑔(𝑥)=𝛼𝑥+𝛽 then the values of

𝛼 and 𝛽 are

Let 𝑓 and 𝑔 be two functions given by 𝑓={(0,1),(2,0),(3,−4),(4,2),(5,7)} ;  𝑔= {(0,2),(1,0),(2,4),(−4,2),(7,0)} then the range of 𝑓o𝑔 is

𝑓(𝑥)=(𝑥+1)³−(𝑥−1)³ represents a function which is

If the ordered pairs (𝑎+2,4) and (5,2𝑎+𝑏) are equal then (𝑎,𝑏) is

Let 𝑓(𝑥)=√1+𝑥² then

Let 𝐴={1,2,3,4} and 𝐵={4,8,9,10} A function 𝑓∶𝐴→𝐵 given by 𝑓={(1,4),(2,8),(3,9),(4,10)}is a

If 𝐴={1,2},𝐵={1,2,3,4},𝐶={5,6} and𝐷={5,6,7,8} then state which of the following statement is true.

𝐴={𝑎,𝑏,𝑝}, 𝐵={2,3},𝐶={𝑝,𝑞,𝑟,𝑠} then 𝑛[(𝐴∪𝐶)×𝐵] is

Let 𝑛(𝐴)=𝑚 and 𝑛(𝐵)=𝑛 then the total number of non - empty relations that can be defined from 𝐴 to 𝐵 is

The range of the relation 𝑅={(𝑥,𝑥²)|𝑥is a prime number less than 13}is

1. If 𝑛(𝐴×𝐵)=6 and 𝐴={1,3} then 𝑛(𝐵)is

If {(𝑎,8),(6,𝑏)} represents an identity function, then the value of 𝑎 and 𝑏 are respectively

If (𝑥)=2𝑥² and 𝑔(𝑥)=1/3x,  then𝑓o𝑔is

The value of (1³+ 2³+3³+⋯+ 15³)− (1+2+ 3+ …+15)is

If the sequence 𝑡₁, 𝑡₂, 𝑡₃, … are in A.P. then the sequence 𝑡₆, 𝑡₁₂, 𝑡₁₈, … is

The next term of the sequence  3/16, 1/8, 1/12, 1/18,…….. is

If 𝐴 = 2⁶⁵ and B = 2⁶⁴ + 2⁶³ + 2⁶² + …. + 2^O which of the following is true?

In an A.P., the first term is 1 and common difference is 4.  How many terms of the A.P.  must be taken for their sum to be equal to 120?

An A.P. consists of 31 terms. If its 16^thterm is 𝑚, then the sum of all the terms of this A.P. is

If 6 times of 6^thterm of an A.P. is equal to 7 times the 7^th term, then the 13^th term of the A.P. is

The first term of an arithmetic progression is unity and the common difference is 4.Which of the following will be a term of this A.P.

Given 𝐹₁=1, 𝐹₂=3 and 𝐹_𝑛=𝐹_𝑛−1+ 𝐹_𝑛−2 then 𝐹₅ is

7 ^4𝑘 ≡    (mod 100)

The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

The sum of the exponents of the prime factors in the prime factorization of 1729 is

If the HCF of 65 and 117 is expressible in the form of 65𝑚−117, then the value of 𝑚 is

Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are

Euclid’s division lemma states that for positive integers 𝑎 and 𝑏, there exist unique integers

𝑞 and 𝑟 such that 𝑎=𝑏𝑞+𝑟, where 𝑟 must satisfy

Transpose of a column matrix is

Graph of a linear polynomial is a

The number of points of intersection of the quadratic polynomial 𝑥² + 4𝑥 + 4 with the 𝑋 axis is

If 𝐴 is a 2 × 3 matrix and 𝐵 is a 3 × 4 matrix, how many columns does 𝐴𝐵 have

If number of columns and rows are not equal in a matrix then it is said to be a

(2,1) is the point of intersection of two

When proving that a quadrilateral is a parallelogram by using slopes you must find

When proving that a quadrilateral is a trapezium, it is necessary to show

A straight line has equation 8𝑦=4𝑥+21. Which of the following is true

Consider four straight lines (i) 𝑙₁∶ 3𝑦 =4𝑥 + 5         (ii) 𝑙₂ ∶ 4𝑦 =3𝑥 – 1   (iii) 𝑙₃ ∶ 4𝑦 + 3𝑥 = 5   (iv) 𝑙₄ ∶ 4𝑥 +3𝑦 = 2 Which of the following statement is true ?

The slope of the line joining (12,3), (4,a) is 1/8.  The value of ‘a’ is

The slope of the line which is perpendicular to line joining the points (0,0) & (–8,8) is

If slope of the line 𝑃𝑄 is 1/√3, then the slope of the perpendicular bisector of𝑃𝑄is

If 𝐴 is a point on the 𝑌 axis whose ordinate is 8 and𝐵is a point on the 𝑋axis whose abscissae is 5 then the equation of the line 𝐴𝐵 is

Equation of a line passing through origin & perpendicular to line 7𝑥 − 3𝑦 + 4 = 0 is

The point of intersection of 3𝑥−𝑦 = 4and𝑥+𝑦 = 8 is

If (5,7), (3,𝑝) and(6,6)are collinear, then the value of 𝑝 is

The straight line given by the equation 𝑥=11is

A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the𝑌 axis. The path travelled by the man is

The area of triangle formed by the points(−5,0),(0,−5)and (5,0) is

Transpose of a column matrix is

If number of columns and rows are not equal in a matrix then it is said to be a

If 𝐴 is a 2 × 3 matrix and 𝐵 is a 3 × 4 matrix, how many columns does 𝐴𝐵 have

The number of points of intersection of the quadratic polynomial 𝑥² + 4𝑥 + 4 with the 𝑋 axis is

Graph of a linear polynomial is a

If the roots of the equation 𝑞²𝑥² + 𝑝²𝑥 + 𝑟² = 0 are the squares of the roots of the equation 𝑞𝑥² + 𝑝𝑥 +𝑟= 0, then 𝑞, 𝑝, 𝑟 are in…….

The values of 𝑎 and 𝑏 if 4𝑥⁴− 24𝑥³+ 76𝑥² + 𝑎𝑥+𝑏 is a perfect square are

The solution of (2𝑥−1)² = 9 is equal to

Which of the following should be added to make 𝑥⁴+64 a perfect square

The square root of 256𝑥8𝑦4𝑧10÷25x⁶y⁶z⁶  is equal to

In figure if 𝑃R is tangent to the circle at 𝑃 and 𝑂 is the centre of the circle, then ∠POQ is

In figure 𝐶𝑃 and𝐶𝑄 are tangents to a circle with centre at 𝑂. 𝐴𝑅𝐵 is another tangent touching the circle at 𝑅.  If 𝐶𝑃 =11cm and 𝐵𝐶=7cm, then the length of 𝐵𝑅 is

The two tangents from an external points 𝑃 to a circle with centre at 𝑂 are 𝑃𝐴 and 𝑃𝐵.  If ∠𝐴𝑃𝐵 = 70° then the value of ∠𝐴𝑂𝐵 is

How many tangents can be drawn to the circle from an exterior point?

A tangent is perpendicular to the radius at the

In the given figure, 𝑃𝑅 = 26cm, 𝑄𝑅 = 24𝑐𝑚, ∠𝑃𝐴𝑄 = 90°, 𝑃𝐴 = 6cm and 𝑄𝐴 = 8𝑐𝑚.  Find ∠𝑃𝑄𝑅

Two poles of heights 6m and 11m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

In the adjacent figure ∠𝐵𝐴𝐶 = 90° and 𝐴𝐷 ⊥ 𝐵𝐶 then

In a ∆ 𝐴𝐵𝐶, 𝐴𝐷 is the bisector of ∠𝐵𝐴𝐶. If 𝐴𝐵 = 8cm, 𝐵𝐷 = 6cm and 𝐷𝐶 = 3cm.  The length of the side 𝐴𝐶 is

If in ∆𝐴𝐵𝐶, DE ‖BC. 𝐴𝐵 = 3.6𝑐𝑚, 𝐴𝐶 = 2.4𝑐𝑚 and 𝐴𝐷=2.1 𝑐𝑚 then the length of 𝐴𝐸 is

The perimeters of two similar triangles ∆𝐴𝐵𝐶 and ∆𝑃𝑄𝑅 are 36cm and 24cm respectively. If 𝑃𝑄 = 10 𝑐𝑚,then the length of𝐴𝐵is

In a given figure 𝑆𝑇 ‖ 𝑄𝑅, 𝑃𝑆 = 2cm and 𝑆𝑄 = 3cm. Then the ratio of the area of ∆𝑃𝑄𝑅 to the area of ∆𝑃𝑆𝑇 is

If ∆ 𝐴𝐵𝐶 is an isosceles triangle with ∠C = 90° and 𝐴𝐶 = 5 cm, then 𝐴𝐵 is

In ∆ 𝐿𝑀𝑁, ∠𝐿 = 60°, ∠𝑀 = 50°. If ∆𝐿𝑀𝑁 ~ ∆𝑃𝑄𝑅 then the value of ∠𝑅 is

If in triangles 𝐴𝐵𝐶 and 𝐸𝐷𝐹, A 𝐵/ DE = 𝐵C/ FD  then they will be similar, when

(2,1) is the point of intersection of two

When proving that a quadrilateral is a parallelogram by using slopes you must find

When proving that a quadrilateral is a trapezium, it is necessary to show

A straight line has equation 8𝑦=4𝑥+21. Which of the following is true

Consider four straight lines (i) 𝑙₁∶ 3𝑦 =4𝑥 + 5         (ii) 𝑙₂ ∶ 4𝑦 =3𝑥 – 1   (iii) 𝑙₃ ∶ 4𝑦 + 3𝑥 = 5   (iv) 𝑙₄ ∶ 4𝑥 +3𝑦 = 2 Which of the following statement is true ?

In figure 𝐶𝑃 and𝐶𝑄 are tangents to a circle with centre at 𝑂. 𝐴𝑅𝐵 is another tangent touching the circle at 𝑅.  If 𝐶𝑃 =11cm and 𝐵𝐶=7cm, then the length of 𝐵𝑅 is

In figure if 𝑃R is tangent to the circle at 𝑃 and 𝑂 is the centre of the circle, then ∠POQ is

The area of triangle formed by the points (−5,0), (0,−5) and (5,0) is

A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the𝑌 axis.   The path travelled by the man is

The straight line given by the equation 𝑥=11is

The point of intersection of 3𝑥 – 𝑦 = 4 and 𝑥 + 𝑦 = 8 is

If (5,7), (3,𝑝) and (6,6) are collinear, then the value of 𝑝 is

The slope of the line joining (12,3), (4,𝑎) is 1/8.  The value of ‘𝑎’ is

The slope of the line which is perpendicular to line joining the points (0,0) and (–8,8) is

If slope of the line 𝑃𝑄 is 1/√3, then the slope of the perpendicular bisector of 𝑃𝑄 is