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If \( \left[\begin{array}{cc}a+3 & 3 a-2 b \\ 3 a-c & a+b+c\end{array}\right]=\left[\begin{array}{cc}2 & -7+2 b \\ b+4 & 8 a\end{array}\right] \), evaluate \( a, b, c \)
Algebra Feb 21, 2025
2. निम्न में से पाँच खन्डों को हल कीजिए- \[ 5 \times 5-25 \] (क) \( \frac{3 \sqrt{2}}{\sqrt{3}-\sqrt{2}} \) का परिमेयीक्रण कीजिए। (ख) सर्वसमिका का प्रयोग करके \( (2 x+2)^{2} \) का प्रसार यीजिए। (ग) एक चतुर्भुज के कोण 3:5:9:13 के अनुपात में है। इस चतुर्भुन के सभी कोण ज्ञात कीजिए। (घ) सिद्ध कीजिए कि किसी वृत्त की बराघर जीवाएँ केन्द्र पर वरावर कोण अन्ताित करती हीं। (ड) सिद्व कीजिए कि एक केन्द्र से जीवा पर छ्ञाला गया लन्ब कीवा को समद्रिभाजित करता.है।
Geometry Feb 21, 2025
44. The perpendicular distance from origin to the line \( \frac{x+2}{-1}=\frac{y+1}{2}=1 \) \( \begin{array}{llll}\text { (A) } \frac{15}{14} & \text { (B) } \sqrt{\frac{531}{14}} & \text { (C) } \frac{531}{14}\end{array} \)
Geometry Feb 21, 2025
A battery of 6 V is connected with a series combination of five resistors of \( 0.1 \Omega, 0.2 \Omega, 0.3 \Omega, 0.4 \Omega \) and \( 0.5 \Omega \). How much current would flow through the \( 0.3 \Omega \) resistor ? Justify your answer.
Physics Feb 21, 2025
1. In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 opted for both NCC and NSS. If one of these students is selected at random, find the probability that (i) The student opted for NCC or NSS. (ii) The student has opted neither NCC nor NSS. (iii) The student has opted NSS but not NCC.
Probability Feb 20, 2025
12. Each of equal sides of an isosceles triangle is 4 cm greater than its height. If the base of the triangle is 24 cm ; calculate the perimeter and the area of the triangle.
Geometry Feb 20, 2025
Let's find the square root of the fo \( \begin{array}{lll}\text { (a) } 5^{2} \times 8^{2} & \text { (b) } 4225 & \text { (c) } 10609\end{array} \)
Pre Algebra Feb 20, 2025
srinight objective type questions: 1. \( \sqrt{9 x^{2}}= \) a) \( \pm 3 x \) b) \( 3 x \) c) \( -3 x \) d) \( 9 x \) 2. \( (x-3)^{2} \) is equila to b) \( x^{2}+6 x+9 \) c) \( x^{2}-6 x-9 \) d) \( x^{2}+6 x-9 \) 3. A trinomial is a perfect square if it is the square of a) monomial b) binomial c) trinomial d) all these 4. \( (a+b+c)^{2} \) is equal to a) \( a^{2}+b^{2}+c^{2}+2 a b+2 b c+2 c a \) b) \( a^{2}+b^{2}+c^{2}-2 a b-2 b c-2 c a \) c) \( a^{2}+b^{2}+c^{2}+2 a b-2 b c-2 c a \) d) \( a^{2}+b^{2}+c^{2}-2 a b-2 b c+2 c a \) ane or more than one correct answer type questions : \[ \sqrt{16 x^{2} y^{4}}= \] a) \( 4 x y^{2} \) b) \( -\left(4 x y^{2}\right) \) c) \( \frac{4 x y^{3}}{y} \) d) \( -4 x y \times(-y) \) eger type questions : \[ \sqrt{16 a^{2}}=k a, \text { then } k= \] \( \qquad \)
Algebra Feb 20, 2025
3. A heap of wheat is in the form of a cone whose diametor is 10.5 m \& height in 3 m . Jindits volume. The heap is to be covered by canvas to proteet it from rain. Find the area of the canvas reanined.
Geometry Feb 20, 2025
The water of for a industry is stored in a hemispherical tank of internal diameter 14 m . The tank contains 40 kilolitres of water. Water is pumped into the tank to fill it to full capacity. Calculate the volume of water pumped into te tank.
Geometry Feb 20, 2025
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