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NCERT | sankhya paddhati - L2 | Class 9 Ganit | Chapter 1 | Doubtnut | Amit Sir | L1

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The vector equations of two lines L_1 and L_2 are respectively vec r=17hat i–9hat j+9hat k+ lambda(3hat i +hat j+ 5hat k) and vec r=15hat –8hat j-hat k+mu(4hat i+3hat j) I L_1 and L_2 are skew lines II (11, -11, -1) is the point of intersection of L_1 and L_2 III (-11, 11, 1) is the point of intersection of L_1 and L_2. IV cos^-1 (3/sqrt35) is the acute angle between _1 and L_2 then , which of the following is true?

Let L_1 be the length of the common chord of the curves x^2 + y^2=9 and y^2= 8x, and L_2 be the length of the latus rectum of y^2=8x, then: (A) L_1 lt L_2 (B) L_1/L_2=sqrt2 (C) L_1gtL_2 (D) L_1=L_2

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Let L_1 be a tangent to the parabola y^(2) = 4(x+1) and L_2 be a tangent to the parabola y^(2) = 8(x+2) such that L_1 and L_2 intersect at right angles. Then L_1 and L_2 meet on the straight line :

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In the figure given below there are two convex lenses L1 and L2 having focal lengths F1 and F2 respectively. The distance between L1 and L2 will be

consider three congerging lenses L_1, L_2 and L_3 having identical geometrical construction. The index of refraction of L_1 and L_2 are mu_1 and mu_2 respectively. The upper half of the lens L_3 has a refractive index mu_1 and the lower half has mu_2 . A point object O is imaged at O_1 by the lens L_1 and at O_2 by the lens L_2 placed in same position . If L_2 is placed at the same place.