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#1 Class Class 10 Mathematics Introduction to Trigonometry 2026 Short 2M

(a) Prove that: sin A/(1+cos A) + (1+cos A)/sin A = 2 cosec A
OR
(b) If sin(A+2B) = √3/2 and cos(A+4B) = 0, A>B, find A and B.

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#2 Class Class 10 Mathematics Arithmetic Progressions 2026 Short 2M

The sum of first n terms of an A.P. is given by $S_n=4n^2-n$. Find the 25th term of this A.P.

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#3 Class Class 10 Mathematics Polynomials 2026 Short 2M

(a) Find the zeroes of the polynomial $p(x)=15x^2-19x+6$.
OR
(b) If one zero of the polynomial $p(x)=(k-1)x^2-(4k+1)x+10$ is 5, find the value of k.

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#4 Class Class 10 Mathematics Real Numbers 2026 Short 2M

Find the smallest 5-digit number exactly divisible by 24 and 36.

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#5 Class Class 10 Mathematics Probability 2026 Long 1M

Assertion (A): The probability that the date of birth of a man is in the month of June is 1/12.
Reason (R): There are 12 months in a year.

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#6 Class Class 10 Mathematics Statistics 2026 Long 1M

Assertion (A): If the value of mode and mean for a distribution is 50 and 56 respectively, then the value of median is 54.
Reason (R): Median = (1/3)(Mode - 2 Mean)

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#7 Class Class 10 Mathematics Probability 2026 Mcq 1M

The probability of getting a sum of 7, when two dice are thrown simultaneously, is:

A. 1/9

B. 1/12

C. 1/6

D. 5/36

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#8 Class Class 10 Mathematics Probability 2026 Mcq 1M

A card is drawn from a packet of 50 identical cards numbered from 1 to 50. The probability of drawing a number which is a perfect square, is:

A. 7/50

B. 8/50

C. 6/50

D. 10/50

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#9 Class Class 10 Mathematics Surface Areas and Volumes 2026 Mcq 1M

Volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is:

A. 4 : 3

B. 3 : 4

C. 16 : 9

D. 9 : 16

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#10 Class Class 10 Mathematics Areas Related to Circles 2026 Mcq 1M

The minute hand of a clock is 21 cm long. The distance covered by the tip of the minute hand from 2:10 pm to 2:25 pm is:

A. 346.5 cm

B. 33 cm

C. 66 cm

D. 16.5 cm

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#11 Class Class 10 Mathematics Areas Related to Circles 2026 Mcq 1M

The area (in cm²) of a sector of a circle of radius 14 cm cut off by an arc of length 22 cm is:

A. 77

B. 308

C. 154

D. 462

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#12 Class Class 10 Mathematics Introduction to Trigonometry 2026 Mcq 1M

If $\sin\theta = \frac{\sqrt3}{2}$, then the value of $2\sqrt3\cdot\cos\frac{\theta}{2}$ is:

A. 3

B. 2√3

C. 3/2

D. √3

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#13 Class Class 10 Mathematics Introduction to Trigonometry 2026 Mcq 1M

If $\cos A = \frac{3}{5}$, then the value of $\tan A$ is:

A. 4/5

B. 5/4

C. 3/4

D. 4/3

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#14 Class Class 10 Mathematics Circles 2026 Mcq 1M

In two concentric circles with centre O, the radius of the outer circle is 25 cm. Chord PQ of the outer circle is tangent to the inner circle at R. If PQ = 14 cm, then the radius of the inner circle is:

A. √429 cm

B. 24 cm

C. √674 cm

D. 20 cm

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#15 Class Class 10 Mathematics Triangles 2026 Mcq 1M

In ΔABC, P and Q are points on sides AB and AC respectively such that PQ || BC. If AP : PB = 3 : 2, then PQ : BC is equal to:

A. 3 : 2

B. 2 : 5

C. 3 : 5

D. 5 : 3

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#16 Class Class 10 Mathematics Triangles 2026 Mcq 1M

If in two triangles ABC and DEF, $\frac{AB}{EF}=\frac{BC}{DE}=\frac{CA}{DF}$; then:

A. ΔDEF ~ ΔBCA

B. ΔDEF ~ ΔCBA

C. ΔABC ~ ΔDEF

D. ΔABC ~ ΔDFE

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#17 Class Class 10 Mathematics Circles 2026 Mcq 1M

If two tangents inclined at an angle of 60° are drawn from an external point to a circle of radius 6 cm, then the length of each tangent is:

A. 3√3 cm

B. 6 cm

C. 12 cm

D. 6√3 cm

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#18 Class Class 10 Mathematics Coordinate Geometry 2026 Mcq 1M

The ratio in which the x-axis divides the line segment joining the points A(–8, 4) and B(–6, –2) is:

A. 5 : 1

B. 3 : 1

C. 2 : 1

D. 1 : 2

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#19 Class Class 10 Mathematics Coordinate Geometry 2026 Mcq 1M

A parallelogram ABCD has three vertices A(–4, 1), B(4, 5) and C(6, 1). Its fourth vertex D is:

A. (–2, –3)

B. (3, –2)

C. (0, –1)

D. (0, 1)

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#20 Class Class 10 Mathematics Arithmetic Progressions 2026 Mcq 1M

The $n^{th}$ term of an A.P. is $3n+2$. The common difference is:

A. 8

B. 2

C. 5

D. 3

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