SSLC (English Medium) कक्षा १० - Tamil Nadu Board of Secondary Education Question Bank Solutions

Find the L.C.M. of the given expressions

– 9a³b², 12a²b²c

Find the L.C.M. of the given expressions

16m, – 12m²n², 8n²

Find the L.C.M. of the given expressions

p² – 3p + 2, p² – 4

Find the L.C.M. of the given expressions

2x² – 5x – 3, 4x² – 36

Find the L.C.M. of the given expressions

(2x² – 3xy)², (4x – 6y)³, (8x³ – 27y³)

Find the LCM and GCD for the following and verify that f(x) × g(x) = LCM × GCD

21x²y, 35xy²

Find the LCM and GCD for the following and verify that f(x) × g(x) = LCM × GCD

(x³ – 1) (x + 1), (x³ + 1)

Find the LCM and GCD for the following and verify that f(x) × g(x) = LCM × GCD

(x²y + xy²), (x² + xy)

Find the LCM pair of the following polynomials

 a² + 4a – 12, a² – 5a + 6 whose GCD is a – 2

Find the LCM pair of the following polynomials

x⁴ – 27a³x, (x – 3a)² whose GCD is (x – 3a)

Find the GCD pair of the following polynomials

12(x⁴ – x³), 8(x⁴ – 3x³ + 2x²) whose LCM is 24x³ (x – 1)(x – 2)

Find the GCD pair of the following polynomials

(x³ + y³), (x⁴ + x²y² + y⁴) whose LCM is (x³ + y³) (x² + xy + y²)

Given the LCM and GCD of the two polynomials p(x) and q(x) find the unknown polynomial in the following table

Given the LCM and GCD of the two polynomials p(x) and q(x) find the unknown polynomial in the following table

If (x – 6) is the HCF of x² – 2x – 24 and x² – kx – 6 then the value of k is 

Find the least common multiple of xy(k² + 1) + k(x² + y²) and xy(k² – 1) + k(x² – y²)

Find the GCD of the following by division algorithm

2x⁴ + 13x³ + 27x² + 23x + 7, x³ + 3x² + 3x + 1, x² + 2x + 1

In ∆ABC, D and E are points on the sides AB and AC respectively such that DE || BC

If `"AD"/"DB" = 3/4` and AC = 15 cm find AE

In ∆ABC, D and E are points on the sides AB and AC respectively such that DE || BC

If AD = 8x – 7, DB = 5x – 3, AE = 4x – 3 and EC = 3x – 1, find the value of x

ABCD is a trapezium in which AB || DC and P, Q are points on AD and BC respectively, such that PQ || DC if PD = 18 cm, BQ = 35 cm and QC = 15 cm, find AD