S-5-30-The sum of first six terms of an A.P is 42. The ratio of its 10th term to its 30th term is 1 : 3. Find the 1st term and the 13th term of the A.P.

The sum of first six terms of an A.P is 42. The ratio of its 10th term to its 30th term is 1 : 3. Find the 1st term and the 13th term of the A.P. Or For what values of Read More …

S-5-29-A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in fig-7. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm, find the total surface area of the article.

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in fig-7. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm, find the total surface Read More …

S-5-28-From the top of a building 100 m. high, the angles of depression of the top and bottom of a tower are observed to be 45o and 60o respectively. Find the height of the tower. Also find the distance between the foot of the building and the bottom of the tower. (√3=1.732)

From the top of a building 100 m. high, the angles of depression of the top and bottom of a tower are observed to be 45o and 60o respectively. Find the height of the tower. Also find the distance between the foot Read More …

S-5-27-In fig-6, AB and CD are two diameters of a circle with center at O. AB ⊥CD . OD is the diameter of the smaller circle.Given that, OA = 7 cm, find the area of the shaded region. (π =22/7)

In fig-6, AB and CD are two diameters of a circle with center at O. AB ⊥CD . OD is the diameter of the smaller circle.Given that, OA = 7 cm, find the area of the shaded region. (π =22/7)

S-5-26-The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of (i) heart (ii) king (iii) club.

The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of (i) heart (ii) king Read More …

S-5-25-Prove that: (sin A/ cot A + csc A)=2+(sin A/cot A- csc A)

Prove that: (sin A/ cot A + csc A)=2+(sin A/cot A- csc A) or If a cosθ – b sin θ = c prove that a sin θ +b sin θ =(√a² +b² -c² )

S-5-24-Five years hence, the age of Anubhab will be three times that of his son. Five years ago, Anubhab’s age was seven times that of his son. What are their present ages?

Five years hence, the age of Anubhab will be three times that of his son. Five years ago, Anubhab’s age was seven times that of his son. What are their present ages?

S-5-23-Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm.

Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm.

S-5-22-Find the HCF of 96 and 404 by the prime factorization method. Hence, find their LCM.

Find the HCF of 96 and 404 by the prime factorization method. Hence, find their LCM.

S-5-21-In fig–5 ABCD is a quadrant of a circle with radius 28 cm and a semicircle BEDB is drawn with BD as diameter. Find the area of the shaded region.

In fig–5 ABCD is a quadrant of a circle with radius 28 cm and a semicircle BEDB is drawn with BD as diameter. Find the area of the shaded region. Or The radius of a radius of a circle is 20cm Read More …

S-5-20-Prove that, (sec θ -tanθ+1/sec θ +tanθ+1) = 1-sinθ/cos θ.

Prove that, (sec θ -tanθ+1/sec θ +tanθ+1) = 1-sinθ/cos θ.

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