Download free Class 7 chapter-wise NCERT solutions, textbook answers, sample question papers, syllabus, and study notes.
[mathjax] Question 1 निम्नलिखित व्यंजको मे कौन-कौन बहुपद है और कौन-कौन नही है । कारण के साथ अपने उत्तर दीजिए: (i) 4x 2 -3x+7 Sol: ⇒4x 2 -3x 1 +7x 0 हाँ , एक चर x हैं (ii) $\sqrt{3}x^2+5x-2$ Sol :...
[mathjax] (i) 3+√5 Sol : अपरिमेय x=-√5 , +√5 परिमेय Question 3 निम्नलिखित समीकरणो में किसका हल अपरिमेंय संख्याओ को निरुपित करते है ? (i) x 2 =5 Sol : ⇒x=±√5 अपरिमेय (ii) $x^2=\dfrac{16}{9}$ Sol :...
[mathjax] Question 1 Two cylindrical vessels are filled with oil. The radius of one vessel is 15 cm and its height is 25 cm. The radius and height of the other vessel are 10cm and 18 cm respectively....
[mathjax] Question 1 A toy is in the form a cone mounted on a hemisphere of diameter 7 cm. The total height of the toy is 14.5 cm. Find the volume of the toy. $\left[\right.$ Take...
[mathjax] Question 1 Three cubes each of side 5 cm are joined end to end to form a cuboid. Find the surface area of the resulting cuboid. Sol : Length of each side of cube = 5cm According to...
[mathjax] Question 1 The circumference of a circle exceeds its diameter by 16.8 cm. Find the circumference of the circle. Sol : We know that, circumference of a circle, C = 2πr and diameter, D = 2r...
[mathjax] Question 1 A Find the distance between the following pair of points: (0, 0), (- 5, 12) Sol : Given points are (0, 0) and (- 5, 12) We need to find the distance between these two points. We...
[mathjax] Question 1 A Find the coordinates of the point which divides the line segment joining (2,4) and (6,8) in the ratio 1:3 internally and externally. Sol : Let P(x,y) be the point which divides...
[mathjax] DE = BC = 3000 m i.e. the plane travels a distance of 3000m in 15 seconds \therefore the speed of the plane =\frac{\text { distance }}{\text { time }}=\frac{3000}{15}=200 \mathrm{m} /...
[mathjax] Question 1 The sum of n terms of an A.P. is $\left(\frac{5 n^{2}}{2}+\frac{3 n}{2}\right)$. Find its 20th term. Sol : $\mathrm{S}=\left(\frac{5 \mathrm{n}^{2}}{2}+\frac{3...
[mathjax] Question 1 A Write the first three terms of the following sequences defined by: t n = 3n + 1 Sol : Given: t n = 3n + 1 Taking n = 1, we get t 1 = 3(1) + 1 = 3 + 1 = 4 Taking n = 2, we get t...
[mathjax] Question 1 Determine whether $x=\frac{3}{2}$ and $x=-\frac{4}{3}$ are the solutions of the equation 6x 2 -x-12=0 or not. Sol : Put both the values of x in the equation. When $x=\frac{3}{2}$...
[mathjax] Question 1 The mean of 11 results is 30. If the mean of the first 6 results is 28 and that of last 6 results is 32, find the 6th result. Sol : Let the 6 th number be x Given that mean of 11...
[mathjax] Question 1 In ΔABC, P and Q are two points on AB and AC respectively such that PQ || BC and $\frac{A P}{P B}=\frac{2}{3}$ , then find $\frac{A Q}{Q C}$. Sol : Given: PQ || BC and $\frac{A...
[mathjax] Question 1 Fill in the blanks with the correct word given in brackets: (i) All squares are having the same length of sides are………. [similar, congruent, both congruent and similar] (ii) All...
[mathjax] Question 1 Fill in the blanks (i) sin 2 θ cosec 2 θ = …….. (ii) 1 + tan 2 θ = …… (iii) Reciprocal sin θ. cot θ = …… (iv) 1–.......= cos 2 θ (v) $\tan A=\frac{\cdots \cdots \cdot}{\cos A}$...
[mathjax] Question 1 Express the following as trigonometric ratio of complementary angle of θ. (i) cos θ (ii) sec θ (iii) cot θ (iv) cosec θ (v) tan θ Sol : (i) We know that $\cos \theta=\frac{\text...
[mathjax] Question 1 Find the value of the following : (i) sin 30 o + cos 60 o (ii) sin 2 45 o +cos 2 45 o (iii) sin 30 o + cos 60 o – tan45 o (iv) $\sqrt{1+\tan ^{2} 60^{\circ}}$ (v) tan 60 o x...
[mathjax] Question 1 The sum of the two numbers is 18. The sum of their reciprocals is 1/4. Find the numbers. Sol : Let the two numbers be x and y. According to the question, x + y = 18 …(i)...
[mathjax] Question 1 A Solve the following pair of linear equation by cross - multiplication method: 8x + 5y = 9 3x + 2y = 4 Sol : Given, pair of equations is 8x + 5y – 9 = 0 and 3x + 2y – 4 = 0 By...