T M CLASSES



If sum of first m terms of an A.P. is the same as the sum of its n terms,then show that the sum its

If sum of first m terms of an A.P. is the same as the sum of its n terms,then show that the sum its
The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the

The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the
Find the smallest values of p for which the quadratic equation x² - 2(p + 1)x+p² = 0 has real roots

Find the smallest values of p for which the quadratic equation x² - 2(p + 1)x+p² = 0 has real roots

If m times the mth term is equal to n times the nth term of an A.P. prove that (m+n)th term of A.P

If m times the mth term is equal to n times the nth term of an A.P. prove that (m+n)th term of A.P

The sum of the first three terms of an AP is 33. If the product of the first and the third term exce

The sum of the first three terms of an AP is 33. If the product of the first and the third term exce
if the zeros of the polynomial ax² + bx + 2a / b are reciprocal of each other then the value of b is

if the zeros of the polynomial ax² + bx + 2a / b are reciprocal of each other then the value of b is
If α,β are the zeroes of the polynomial ax²−x+c, obtain a quadratic polynomial whose zeroes are α−3

If α,β are the zeroes of the polynomial ax²−x+c, obtain a quadratic polynomial whose zeroes are α−3
P is a point on the side BC of triangle ABC such that ∠APC=∠BAC. Prove that AC² = BC×CP.

P is a point on the side BC of triangle ABC such that ∠APC=∠BAC. Prove that AC² = BC×CP.
using the identity sin²A + cos²A = 1,prove that tan²A + 1 = sec²A, hence find the value of

using the identity sin²A + cos²A = 1,prove that tan²A + 1 = sec²A, hence find the value of

If AP and DQ are medians of triangles ABC and DEF respectively, where ∆ABC~ ∆DEF, then prove that AB

If AP and DQ are medians of triangles ABC and DEF respectively, where ∆ABC~ ∆DEF, then prove that AB
The A.P 8, 10, 12,........................... has 60 terms. Find the sum of last 10 terms.

The A.P 8, 10, 12,........................... has 60 terms. Find the sum of last 10 terms.
Find the middle term of A.P. 6, 13, 20,............... 230

Find the middle term of A.P. 6, 13, 20,............... 230
Find the area of the major segment (in terms of π) of a circle with radius 5 cm, where the chord sub

Find the area of the major segment (in terms of π) of a circle with radius 5 cm, where the chord sub
A horse, a cow, and a goat are tied, each by ropes of length 14m, at the corners A, B, and C respect

A horse, a cow, and a goat are tied, each by ropes of length 14m, at the corners A, B, and C respect
In a workshop, the number of teachers of English, Hindi, and Science are 36, 60, and 84 respectively

In a workshop, the number of teachers of English, Hindi, and Science are 36, 60, and 84 respectively
Find the zeroes of the quadratic polynomial 2x² – (1 + 2√2)x + √2 and verify the relationship betwee

Find the zeroes of the quadratic polynomial 2x² – (1 + 2√2)x + √2 and verify the relationship betwee
if the probability of the letter chosen at random from the letters of the word 'mathematics' to be a

if the probability of the letter chosen at random from the letters of the word 'mathematics' to be a
The area of a square inscribed inside a circle of radius 6 cm is ?/class 9th/elements competit

The area of a square inscribed inside a circle of radius 6 cm is ?/class 9th/elements competit
Using appropriate identity, factories x³ - 1/x³- 36

Using appropriate identity, factories x³ - 1/x³- 36
A train travels at a certain average speed for a distance of 63km and then travels a distance of 72k

A train travels at a certain average speed for a distance of 63km and then travels a distance of 72k
An empty cone is of radius 3 cm and height 12 cm . Ice-cream is filled in it so that lower part of

An empty cone is of radius 3 cm and height 12 cm . Ice-cream is filled in it so that lower part of

AB is a chord of circle S subtending an angle of 20° at the center. Suppose AB has a length of 1008

AB is a chord of circle S subtending an angle of 20° at the center. Suppose AB has a length of 1008

In the right-angled triangle as shown in figure, MB+MA=BC+AC. If BC=8 and AC= 10 , then the value

In the right-angled triangle as shown in figure, MB+MA=BC+AC. If BC=8 and AC= 10 , then the value

ABC is a right angled triangle with angle B = 90°, AD and CE are the two medians drawn from A and C

ABC is a right angled triangle with angle B = 90°, AD and CE are the two medians drawn from A and C
In a circle of 10 cm radius, two chords AB andAC is 12 cm, then the length of the chord BC is

In a circle of 10 cm radius, two chords AB andAC is 12 cm, then the length of the chord BC is
Secants AB and AC intersect the circle with centre O, at D, and E respectively. BE and DC intersect

Secants AB and AC intersect the circle with centre O, at D, and E respectively. BE and DC intersect

In the following figure O is the center of circle and ∠BAC=n°, ∠OCB=m°, then

In the following figure O is the center of circle and ∠BAC=n°, ∠OCB=m°, then

O is the centre of a circle of radius 5 cm, T is a point such that OT = 13 cm and OT intersects the

O is the centre of a circle of radius 5 cm, T is a point such that OT = 13 cm and OT intersects the
ABC is a right angled triangle with angle B=90. M is the midpoint of AC and BM=sq.rt of 117cm. The

ABC is a right angled triangle with angle B=90. M is the midpoint of AC and BM=sq.rt of 117cm. The
If secθ + tanθ = p, prove that sinθ = p²−1/p²+1

If secθ + tanθ = p, prove that sinθ = p²−1/p²+1